Journal Vol – 15 No -10, October 2020

Abstract:

In the last few decades, significant progress has been made in the field of Process Control and instrumentation and offers a unique controller named CRONE, which is a noninteger controller to ascertaining the solution of the system under various model uncertainties. This paper proposed to analyzes the performance of CRONE controllers for a mechanical domain of Active Suspension System. To avoid vibration and providing a comfortable vehicle should design the active suspension system using CRONE controllers. The work reveals the design and implementation of CRONE controllers for a Mechanical Active Suspension System (MASS). The mathematical modeling of the transfer function for MASS is analytically derived and analyzed performance is obtained by MAT lab Simulink. The simulation results of the servo response for the CRONE controller are recorded. The Third Generation of CRONE (TGC) controller performance is analyzed in terms of error indices and time-domain parameters. In addition to that, the conventional ZN-PID controller is designed and compared with the TGC controller. Hence it is concluded that the performance of the TGC controller proves superiority over the ZN-PID controller.

Keywords:

CRONE Controller,ZN-PID,TGC,Mechanical active suspension system,Nichols chart,

Refference:

I. Abdolvahab Agharkakli; Ghobad Shafiei Sabet and Armin Barouz. “Simulation and Analysis of Passive and Active Suspension System Using Quarter Car Model for Different Road Profile”. International Journal of Engineering Trends and Technology, Vol.3, No.5 (2012).

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V. Feng Zhao; Shuzhi Sam Ge; Fangwen Tu; Yechen Qin and Mingming Dong. “Adaptive neural network control for an active suspension system with actuator saturation”. IET Control Theory & Applications, Vol.10 ,No.14 (2016).
VI. Fitri Yakub; Pauziah Muhamad; Hoong Thiam Toh; Noor Fawazi; Shamsul Sarip; Mohamed Sukri Mat Ali and Sheikh Ahmad Zaki. “Enhancing Vehicle Ride Comfort through Intelligent Based Control”. IEEE International Conference on Automatic Control and Intelligent Systems (I2CACIS) (2016).
VII. Ghazally I.Y. Mustafa; Wanga, H.P, and Yang Tiana. “Vibration control of an active vehicle suspension systems using optimized model-free fuzzy logic controller based on time delay estimation”. Advances in Engineering Software, Vol.127, pp 141-149 (20190.
VIII. Guimin Long; Fei Ding; Nong Zhang; Jie Zhang and An Qin. “Regenerative active suspension system with residual energy for in-wheel motor-driven electric vehicle”. Applied Energy, Vol.260, Article 114180(2020).
IX. Jean-Louis Bouvin; Xavier Moreau; Andre Benine-Neto; Alain Oustaloup; Pascal Serrier and Vincent Hernette. “CRONE control of a pneumatic self-leveling suspension system”. Science Direct, IFAC, Vol.50,No.1,pp 13816–13821 (2017).
X. Jinhua Zhang; Weichao Sun and Houhua Jing. “Nonlinear Robust Control of Antilock Braking Systems Assisted by Active Suspensions for Automobile”. IEEE Transactions on Control Systems Technology, Vol.27, No.3 (2019).
XI. Jue Wang; Fujiang Jin; Lichun Zhou and Ping Li. “Implementation of model-free motion control for active suspension systems”. Mechanical Systems and Signal Processing, Vol.119, pp 589–602 (2019).
XII. Mahesh S. Lathkar; Pramod D. Shendge and Shrivijay B. Phadke. “Active Control of Uncertain Seat Suspension System Based on a State and Disturbance Observer”. IEEE Transactions on Systems, Man, and Cybernetics: Systems, Vol.50, No.3 (2020).
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XIV. Mohammed Eman , Karim Hassan Ali, “A FUZZY PID CONTROLLER MODEL USED IN ACTIVE SUSPENSION OF THE QUARTER VEHICLE UNDER MATLAB SIMULATION”, J. Mech. Cont.& Math. Sci., Vol.-15, No.-2, February (2020) pp 224-235
XV. Nouby M. Ghazaly; Mostafa Makrahy; Ahmad O. Moaaz. “Sliding Mode Controller for Different Road Profiles of Active Suspension System for Quarter-Car Model”. American Journal of Mechanical Engineering, Vol.7, No.4, pp 151-157 (2019).
XVI. Omorodion Ikponwosa Ignatius; Obinabo, C.E, and Evbogbai, M.J.E. “Modeling, Design, and Simulation of Active Suspension System Root Locus Controller using Automated Tuning Technique”. Mathematical Theory and Modeling, Vol.6, No.1 (2016).
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XXI. Shipping Wen; Michael Z. Q. Chen; Zhigang Zeng; Xinghuo Yu and Tingwen Huang. “Fuzzy Control for Uncertain Vehicle Active Suspension Systems via Dynamic Sliding-Mode Approach”. IEEE Transactions on Systems, Man, and Cybernetics: Systems, Vol.47, No.1 (2017).
XXII. Sirin Akkaya; Handan Nak and Ali Fuat Ergenc. “Design, Analysis and Experimental Verification of a Novel Nonlinear PI Controller”. Anadolu University Journal of Science and Technology A- Applied Sciences and Engineering, Vol.18, No.4, pp 876 – 896 (2017).
XXIII. Srinivasan, G; Senthil Kumar, M and Junaid Basha, A.M. “Mathematical modeling and PID controller design using Transfer functional Root Locus method for Active suspension system”. Middle East Journal of Scientific Research, Vol.24, No.3, pp 622-627 (2016).
XXIV. Tejas P.Turakhia and M.J.Modi. “ Mathematical Modeling and Simulation of a simple Quarter Car Vibration model”. International Journal of Scientific Research and Development, Vol.2, No.11 (2016).
XXV. Tianhe Jin; Zhiming Liu; Shuaishuai Sun; Zunsong Ren; Lei Deng; Bo Yang; Matthew Daniel Christie and Weihua Li. “Development and evaluation of a versatile semi-active suspension system for high-speed railway vehicles”. Mechanical Systems and Signal Processing, Vol.135, Article.106338 (2020).
XXVI. Velmurugan, V, and Praboo, N.N. “CRONE Control Strategy for Air Pressure System”. International Journal of Innovative Technology and Exploring Engineering (IJITEE), Vol.9, No.6, pp 966-971 (2020).
XXVII. Yanqi Zhang; Yanjun Liu; Zhifeng Wang; Rui Bai and Lei Liu. “Neural network-based adaptive dynamic surface control for vehicle active suspension systems with time-varying displacement constraints”. Neurocomputing (2020).

AUTOMATIC ARABIC KEYWORD EXTRACTION USING LOGISTIC REGRESSION

Authors:

Noor T. Jabury, Nada A.Z. Abdullah

DOI NO:

https://doi.org/10.26782/jmcms.2020.10.00002

Abstract:

Keywords Express the main content of the document or article, they are an important component since they provide a summary of the article’s content. Keywords also play an important role in information retrieval systems, bibliographic databases, and search engine optimization. The manual assignment of high-quality keywords is expensive, time-consuming, and error-prone. In this paper, an automatic keyword extraction model, based on the Logistic Regression algorithm is proposed and implemented. The model consists of three main stages: preprocessing, feature extraction, and classification stage to select the keywords. In experimental results 40 Arabic documents are used from two Arabic journals (AJSP and JJSS ), the results are promising; the average accuracy is 0.91 with average precision 0.86 for the AJSP dataset, the average accuracy is 0.90with average precision 0.83 for the JJSS dataset.

Keywords:

Arabic keywords,keywords extraction,logistic regression,

Refference:

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CLUSTERING ADAPTIVE ELEPHANT HERD OPTIMIZATION APPROACH-BASED DATA DISSEMINATION PROTOCOL FOR VEHICULAR AD HOC NETWORKS

Authors:

Bhoopendra Dwivedy, Anoop Kumar Bhola, C.K. Jha

DOI NO:

https://doi.org/10.26782/jmcms.2020.10.00003

Abstract:

The wirelessly connected networks of vehicular nodes are Vehicular Ad Hoc Networks (VANET). According to the limited bandwidth of the wireless interface, dynamic topology, frequently disconnected networks with the vital role in vehicular communication is best path. To address this problem, this research proposes a Clustering-based Adaptive Elephant Herd Optimization (CAEHO) for VANETs. The proposed CAEHONET protocol is used to forms optimized clusters for robust communication. In CAEHONET is utilized to control the overhead can be efficiently. The main objective of the paper is to analyse the energy efficient and provide the security analysis in VANET. By calculating an enhanced fitness function, it works intelligently to select the optimal route and most stable route among known routes. The aim of the paper is to maintain the stability in the system of polar coordinate and the obstacles as objective of probability of occurrence. The NS2 platform is used to implement the proposed work then it is contrasted with previous techniques such as Ant Colony Optimization algorithm (ACO) and Improved Whale Optimization algorithm (IWOA) respectively. Especially, the CAEHONET enhances the packet delivery, network throughput, packet loss ratio and ratio end-to-end delay than other routing protocols and the entire simulation works are handled in NS2 tool.

Keywords:

CAEHONET protocol,EHO,Improved whale optimization algorithm,energy,clustering,ACO ,NS2 platform,

Refference:

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SOME EFFICIENT MATHEMATICAL PROGRAMMING TECHNIQUES FOR BALANCING EQUATIONS OF COMPLEX CHEMICAL REACTIONS

Authors:

Mumtaz Yousaf, Muhammad Mujtaba Shaikh, Abdul Wasim Shaikh

DOI NO:

https://doi.org/10.26782/jmcms.2020.10.00004

Abstract:

The equations of chemical reactions usually describe the breakup of some desired or consequent products and the breakup of reactants used in chemical reactions. Usually, the equations in skeleton form are unbalanced, and a deeper analysis requires the balanced form which is not quite easy for complex reactions. In instances, the balancing can be done quickly with hit and trial and simple logic. In such cases, the trials are found not attractive, although they are helpful at a simple level at an advanced level they become more tough and unpredictable. For complex cases, many mathematical techniques can be used for balancing equations of chemical reactions. In this study, some efficient mathematical techniques are suggested which can be more suitable from all perspectives to balance chemical equations and to provide a case to case recommendations for the practitioners. Particularly, we suggest and utilize the linear algebra Gauss elimination (LA-GE) and the linear programming two-phase (LP-2P) approaches to successfully for chemical equation balancing. A number of chemical equations have been taken from literature to see the performance of both approaches. The advantages and disadvantages of both approaches are discussed, mainly with the computer programming in MATLAB and TORA systems, and an exhaustive comparison based on floating point operations (FLOPS) is carried out. The recommendations will prove fruitful for the practitioners for using efficient and yet simpler mathematical programming techniques for the balancing of equations of chemical reactions in the future.

Keywords:

Chemical reactions,Mathematical programming,Linear algebra, Gauss elimination,Linear programming,Applied Chemistry,Mathematical Chemistry,

Refference:

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XXXI. Y. Hari Krishna; Reddy, G Venkata Ramana; Praveen, JP; Balancing Chemical Equations By Using Matrix Algebra’, World Journal Of Pharmacy And Pharmaceutical Sciences ,6(2), 994-999, 2017

SOME NEW AND EFFICIENT DERIVATIVE-BASED SCHEMES FOR NUMERICAL CUBATURE

Authors:

Kamran Malik , Muhammad Mujtaba Shaikh, Muhammad Saleem Chandio, Abdul Wasim Shaikh

DOI NO:

https://doi.org/10.26782/jmcms.2020.10.00005

Abstract:

In this research work, some new derivative-based numerical cubature schemes have been proposed for the accurate evaluation of double integrals under finite range. The proposed modifications are based on the Trapezoidal-type quadrature and cubature rules. The proposed schemes are important to numerically evaluate the complex double integrals, where the exact value is not available but the approximate values can only be obtained. The proposed derivative-based double integral schemes provide efficient results with regards to higher precision and order of accuracy. The proposed schemes, in basic and composite forms, with local and global error terms are presented with necessary proofs with their performance evaluation against conventional Trapezoid rule through some numerical experiments. The consequent observed error distributions of the proposed schemes are found to be lower than the conventional Trapezoidal cubature scheme in composite form

Keywords:

Cubature,Double integrals,Derivative-based schemes,Precision,Order of accuracy,Trapezoid,

Refference:

A NEW QUADRATURE-BASED ITERATIVE METHOD FOR SCALAR NONLINEAR EQUATIONS

Authors:

Sehrish Umar, Muhammad Mujtaba Shaikh, Abdul Wasim Shaikh

DOI NO:

https://doi.org/10.26782/jmcms.2020.10.00006

Abstract:

Nonlinear equations and their efficient numerical solution is a fundamental issue in the field of research in mathematics because nature is full of nonlinear models demanding careful solution and consideration. In this work, a new two-step iterative method for solving nonlinear equations has been developed by using quadrature formula so that the cost of evaluations is considerably reduced. The proposed strategy successfully removes the use of an additional derivative in an existing method in literature so that there is no compromise at all on the cubic convergence rate. The developed scheme is cubically convergent and uses a functional and three derivative evaluations only as compared to some other methods in the literature using much higher evaluations. The theorems concerning the derivation of the proposed method and its third order of convergence have been discussed with proofs. Performance evaluation of the new proposed scheme has been discussed with some methods from literature including well-known traditional methods. An exhaustive numerical verification has been done under the same numerical conditions on ten examples from literature. The efficiency index is found to be higher for the new proposed scheme than some schemes with order more than three, and comparable with some methods. The comparison using observed absolute errors, number of iterations, functional and derivative evaluations, and observed convergence reveals that the proposed method finds the solutions quickly and with lesser computational cost as compared to most of the other methods used in the comparison. The results show the encouraging performance of the proposed method.

Keywords:

Cost-efficient,Quadrature,Nonlinear equations,Order of convergence,Efficiency index,

Refference:

I. Alamin Khan Md., Abu Hashan Md. Mashud, M. A. Halim, “NUMEROUS EXACT SOLUTIONS OF NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS BY TAN–COT METHOD”, J. Mech. Cont. & Math. Sci., Vol.-11, No.-2, January (2017) Pages 37-48
II. Abro H. A., Shaikh M. M., (2019), A new time efficient and convergent nonlinear solver , Applied Mathematics and Computation 355, 516-536.
III. Akram, S. and Q. U. Ann.,(2015). Newton Raphson Method, International Journal of Scientific & Engineering Research, Volume 6.
IV. Allame M., and N. Azad, 2012.On Modified Newton Method for Solving a Nonlinear Algebraic Equations by Mid-Point, World Applied Sciences Journal 17 (12): 1546-1548, ISSN 1818-4952 IDOSI Publications.
V. Biswa N. D. (2012), Lecture Notes on Numerical Solution of root Finding Problems.
VI. C. Chun and Y. Ham, (2007) “A one-parameter fourth-order family of iterative methods for nonlinear equations,” Applied Mathematics and Computation, vol. 189, no. 1, pp. 610–614
VII. C. Chun and Y. Ham, (2008). “Some fourth-order modiﬁcations of Newton’s method,” Applied Mathematics and Computation, vol. 197, no. 2, pp.654–658
VIII. Chapra, S. C., & Canale, R. P. (1998). Numerical methods for engineers (Vol. 2). New York: Mcgraw-hill.
IX. Chitra S., P. Thapliyal, K.Tomar, (2014), “Role of Bisection Method”, International Journal of Computer Applications Technology and Research, vol, 3, 533-535.
X. Dunn, S., Constantinides, A., & Moghe, P. V. (2005). Numerical methods in biomedical engineering. Elsevier.
XI. Farooq Ahmed Shah, Muhammad Aslam Noor and Moneeza Batool, (2014) Derivative-Free Iterative Methods for Solving Nonlinear Equations, Appl. Math. Inf . Sci. 8, No. 5, 2189-2193.
XII. Golbabai, A., Javidi, M., “A Third-Order Newton Type Method for Nonlinear Equations Based on Modified Homotopy Perturbation Method”, Appl. Math. And Comput., 191, 199–205, 2007.
XIII. Iwetan, C. N., I. A. Fuwape, M. S. Olajide, and R. A. Adenodi, (2012), Comparative Study of the Bisection and Newton Methods in solving for Zero andExtremes of a Single-Variable Function. J. of NAMP Vol.21 173-176.
XIV. Khoso, Amjad Hussain, Muhammad Mujtaba Shaikh, and Ashfaque Ahmed Hashmani. “A New and Efficient Nonlinear Solver for Load Flow Problems.” Engineering, Technology & Applied Science Research 10, no. 3 (2020): 5851-5856.
XV. Liang Fang, Li Sun and Goping He, (2008), On An efﬁcient Newton-type method with ﬁfth-order convergence for solving nonlinear equations, Comp. Appl. Math., Vol. 27, N. 3,
XVI. M. A. Haﬁz & Mohamed S. M. Bahgat, An Eﬃcient Two-step Iterative Method for Solving System of Nonlinear EquationsJournal of Mathematics Research; Vol. 4, No. 4; 2012.
XVII. M. Aslam Noor, K. Inayat Noor, and M. Waseem, (2010).“Fourth-order iterative methods for solving nonlinear equations,” International Journal of Applied Mathematics and Engineering Sciences, vol. 4, pp. 43–52
XVIII. Muhammad Aslam Noor, Khalida Inayat Noor and Kshif Aftab(2012), Some New Iterative Methods for Solving Nonlinear Equations, World Applied Sciences Journal 20 (6): 870-874, 2012
XIX. Muhammad Aslam Noor, Khalida Inayat Noor, Eisa Al-Said and Muhammad Waseem. Volume 2010 .Some New Iterative Methods for Nonlinear Equations, Hindawi Publishing Corporation Mathematical Problems in Engineering
XX. Noor, M. A., F. Ahmad, Numerical compression of iterative method for solving nonlinear equation Applied Mathematics and Computation, 167-172, (2006).
XXI. Rafiq, A., S. M. Kang and Y. C. Kwun., 2013. A New Second-Order Iteration Method for Solving Nonlinear Equations, Hindawi Publishing Corporation Abstract and Applied Analysis Volume2013, Article ID 487062.
XXII. Sanyal D. C., “On The Solvability Of a Class Of Nonlinear Functional Equations”, J. Mech. Cont.& Math. Sci., Vol.-10, No.-1, October (2015) Pages 1435-1450
XXIII. Shaikh, M. M. , Massan, S-u-R. and Wagan, A. I. (2019). A sixteen decimal places’ accurate Darcy friction factor database using non-linear Colebrook’s equation with a million nodes: a way forward to the soft computing techniques. Data in brief, 27 (Decemebr 2019), 104733.
XXIV. Shaikh, M. M., Massan, S-u-R. and Wagan, A. I. (2015). A new explicit approximation to Colebrook’s friction factor in rough pipes under highly turbulent cases. International Journal of Heat and Mass Transfer, 88, 538-543.

XXV. Shin Min Kang et al.(2015). An Improvement in Newton –Raphson Method for Nonlinear –equations using Modified Adomian Decomposition Method, International Journal of Mathematical Analysis Vol. 9, 2015, no. 39, 1919 – 1928
XXVI. Tanakan, S., (2013), A New Algorithm of Modiﬁed Bisection Method for Nonlinear Equations. Applied Mathematical Sciences”, Vol. 7, no. 123, 6107 – 6114 HIKARI Ltd
XXVII. Yasmin, N., M.U.D. Junjua, (2012). Some Derivative Free Iterative Methods for Solving Nonlinear Equations, ISSN-L: 2223-9553, ISSN: 2223-9944 Vol. 2, No.1. 75-82

THE MINIMUM DEMAND METHOD – A NEW AND EFFICIENT INITIAL BASIC FEASIBLE SOLUTION METHOD FOR TRANSPORTATION PROBLEMS

Authors:

Sanaullah Jamali, Abdul Sattar Soomro, Muhammad Mujtaba Shaikh

DOI NO:

https://doi.org/10.26782/jmcms.2020.10.00007

Abstract:

It is one of the most important tasks to determine the optimal solution for large scale transportation problems in Operations research more efficiently, accurately and quickly. In this research, we develop a new and efficient initial basic feasible solution (IBFS) method for solving balanced and unbalanced transportation problems so that the cost associated with transporting a certain amount of products from sources to destinations is minimized while also satisfying constraints. The proposed method – the minimum demand method (MDM) – to find a starting (initial) solution for the transportation problems has been developed by taking minimum value in demand row, and in case of a tie the demand with the least cost in the corresponding column is selected. The performance evaluation of the proposed MDM is carried out with other benchmark methods in the literature, like the north-west-corner method (NWCM), least cost method (LCM), Vogel’s approximation method (VAM) and revised distribution (RDI) method. The IBFSs obtained by the proposed MDM and existing NWCM, LCM, VAM and RDI have been compared against the optimal solutions acquired through the modified distribution (MODI) method on 12 balanced and unbalanced problems from literature, and the relative error distributions are presented for accuracy. The results obtained by the proposed MDM are better than NWCM, LCM, VAM and RDI. The proposed MDM gives initial basic feasible solutions that are the same as or very closer to the optimum solutions in all cases we have discussed. The comparison reveals that the proposed MDM reduces the number of tables and the number of iterations to reach at more accurate and reliable IBFS. The MDM will also save the total time period of performing tasks and reduce the number of steps in order to get the optimal solution.

Keywords:

Transportation problem,initial basic feasible solution,Optimal solution,North-west-corner,Least cost,Vogel’s approximation,Revised distribution,Modified distribution,

Refference:

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IV. Bhan, V., Hashmani, A. A., & Shaikh, M. M. (2019). A new computing perturb-and-observe-type algorithm for MPPT in solar photovoltaic systems and evaluation of its performance against other variants by experimental validation. Scientia Iranica, 26(Special Issue on machine learning, data analytics, and advanced optimization techniques in modern power systems [Transactions on Computer Science & Engineering and Electrical Engineering (D)]), 3656-3671.
V. Charnes, A., and W. W. Cooper (1961), Management Models and Industrial Applications of Linear Programming (John Wiley and Sons, Inc., New York.
VI. George B. Dantzig, 1963, Linear Programming and Extentions, Princeton University Press, Princeton, N J.
VII. Hitchcock, Frank L. (1941) ‘The distribution of a Product from Several Sources to Numerous Localities’, J. Math. Phys. pp. 224-230.
VIII. Ijiri, Y. (1965), Ma11agement Goals and Accounting for Control, North Holland, Amsterdam.
IX. Jamali, S., Shaikh, M. M., & Soomro, A. S. (2019). Overview of Optimality of New Direct Optimal Methods for the Transportation Problems. Asian Research Journal of Mathematics, 15(4), 1-10.
X. Kantorovich, L. 1942: On the translocation of masses. C.R. (Doklady) Acad. Sci. URSS (N.S.) 37, 199–201.
XI. Khoso, A. H., Shaikh, M. M., & Hashmani, A. A. (2020). A New and Efficient Nonlinear Solver for Load Flow Problems. Engineering, Technology & Applied Science Research, 10(3), 5851-5856.
XII. Koopmans, (1947) ‘Optimum Utilization of the Transportation System’, Econometrica, Vol XVII.
XIII. Kwak N.K. & Schniederjans, M.J. (1985). Goal programming solutions to transportation problems with variable supply and demand requirements. Socio-Economic Planning Science, 19(2), 95-100.
XIV. Lawrence (1982) Seaway Development Corporation. The St. Lawrence Seaway Traffic Report for the 1981 Navigation Season, U.S. Dept. of Transportation.
XV. Lee & Moore. (1972), Goal Programmingfor Decision Analysis, Auerbach, Philadelphia.
XVI. Massan, Shafiq-ur-Rehman, Wagan, A. I., & Shaikh, M. M. (2020). A new metaheuristic optimization algorithm inspired by human dynasties with an application to the wind turbine micrositing problem. Applied Soft Computing, 90, 106176.
XVII. Mohammad Kamrul Hasan (2012), International Refereed Journal of Engineering and Science (IRJES) ISSN (Online) 2319-183X, (Print) 2319-1821 Volume 1, Issue 2 (October 2012), PP.46-52.
XVIII. Monge, G. (1781) M´emoire sur la th´eorie des d´eblais et de remblais. Histoire de l’Acad´emie Royale des Sciences de Paris, avec les M´emoires de Math´ematique et de Physique pour la mˆeme ann´ee, pages 666–704.
XIX. M. Wali Ullah, Rizwana Kawser, M. Alhaz Uddin, “A DIRECT ANALYTICAL METHOD FOR FINDING AN OPTIMAL SOLUTION FOR TRANSPORTATION PROBLEMS”, J.Mech.Cont.& Math. Sci., Vol.-9, No.-2, January (2015) Pages 1311-1320.
XX. M. A. Hossen, Farjana Binte Noor, “Transportation Cost Effective named Maximum Cost, Corresponding Row and Column minima (MCRCM) Algorithm for Transportation Problem,” J. Mech. Cont. & Math. Sci., Vol.-14, No.-1, January-February (2019) pp 241-249
XXI. Pandian (2010), A New Method for Finding an Optimal Solution for Transportation Problems, International J. of Math. Sci. & Engg. Appls., vol 4, pp. 59-65.
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XXVI. Soomro, A. S., Junaid, M., & Tularam, G. A. (2015). Modified Vogel’s approximation method for solving transportation problems. Mathematical Theory and Modeling, 5(4).
XXVII. Soomro, Abdul Sattar, Gurudeo Anand Tularam & Ghulam Murtaza Bhayo (2014), A comparative study of Initial basic feasible solution method for transportation problems, Mathematical Theory and Modeling ISSN 2225-0522 (Online) Vol.4, No.1.pp.1-8.
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XXIX. Taha, H. A. (2011). Operations research: an introduction (Vol. 790). Upper Saddle River, NJ, USA: Pearson/Prentice Hall.

A NEW THIRD-ORDER DERIVATIVE-BASED ITERATIVE METHOD FOR NONLINEAR EQUATIONS

Authors:

Adnan Ali Mastoi , Muhammad Mujtaba Shaikh, Abdul Wasim Shaikh

DOI NO:

https://doi.org/10.26782/jmcms.2020.10.00008

Abstract:

In this study, a new derivative-based cubically convergent iterative method is established for nonlinear equations, which is a modification of an existing method. The idea of difference quotient is used to arrive at a better formula than the existing one. The theorem concerning the order of convergence has been proved theoretically. Some examples of nonlinear equations have been solved to analyse convergence and competence of the PM against existing methods. High precision arithmetic has been used and graphs have been plotted using Ms Excel. Using standard test parameters: efficiency index, absolute error distributions, observed order of convergence, number of iterations and number of evaluations, the PM is compared against the existing methods, and is found to be a cost-efficient alternative with the higher order of convergence. From results, it has been detected that established technique is superior to the widely used Bisection (BM), Regula-Falsi (RFM) and Newton-Raphson (NRM) methods from iterations and accuracy perspectives. Moreover, the proposed method (PM) is cost-efficient than the original method used for modification as well as some other methods.

Keywords:

Convergence,Efficiency,Nonlinear equation,Derivative-based,Precision,

Refference:

I. Ali Akber M., Md. Sharif Uddin,Mo. Rokibul Islam,Afroza Ali Soma, “Krylov-Bogoliubov-Mitropolskii (KBM) Method For Fourth Order More Critically Damped Nonlinear System”, J. Mech. Cont. & Math. Sci., Vol.-2, No.-1, July (2007) pp 91-107
II. Abro H. A., Shaikh M. M., (2019), A new time efficient and convergent nonlinear solver , Applied Mathematics and Computation 355, 516-536.
III. Akram, S. and Q. U. Ann.,(2015). Newton Raphson Method, International Journal of Scientific & Engineering Research, Volume 6
IV. Allame M., and N. Azad, (2012).On Modified Newton Method for Solving a Nonlinear Algebraic Equations by Mid-Point, World Applied Sciences Journal 17 (12): 1546-1548, ISSN 1818-4952 IDOSI Publications.
V. Biswa N. D. (2012), Lecture Notes on Numerical Solution of root Finding Problems.
VI. Chitra S., P. Thapliyal, K.Tomar, (2014), “Role of Bisection Method”, International Journal of Computer Applications Technology and Research, vol, 3, 533-535.
VII. Chun, C. and Y. Ham, (2007) “A one-parameter fourth-order family of iterative methods for nonlinear equations,” Applied Mathematics and Computation, vol. 189, no. 1, pp. 610–614
VIII. Chun, C. and Y. Ham, (2008). “Some fourth-order modiﬁcations of Newton’s method,” Applied Mathematics and Computation, vol. 197, no. 2, pp.654–658
IX. Dhalquist, G. and A.Bjorck(2008).Numerical Methods in Scientiﬁc Computing, SIAM.1
X. Farooq Ahmed Shah, Muhammad Aslam Noor and Moneeza Batool, (2014) Derivative-Free Iterative Methods for Solving Nonlinear Equations, Appl. Math. Inf. Sci. 8, No. 5, 2189-2193.
XI. Golbabai, A., Javidi, M., 2007 “A Third-Order Newton Type Method for Nonlinear Equations Based on Modified Homotopy Perturbation Method”, Appl. Math. And Comput., 191, 199–205.
XII. Iwetan, C. N., I. A. Fuwape, M. S. Olajide, and R. A. Adenodi, (2012), Comparative Study of the Bisection and Newton Methods in solving for Zero and Extremes of a Single-Variable Function. J. of NAMP Vol.21 173-176.
XIII. Khoso, Amjad Hussain, Muhammad Mujtaba Shaikh, and Ashfaque Ahmed Hashmani. “A New and Efficient Nonlinear Solver for Load Flow Problems.” Engineering, Technology & Applied Science Research 10, no. 3 (2020): 5851-5856.
XIV. Liang Fang, Li Sun and Guoping He, (2008 )..On An efﬁcient Newton-type method with ﬁfth-order convergence for solving nonlinear equations, Comp. Appl. Math., Vol. 27, N. 3.
XV. M. Aslam Noor, K. Inayat Noor, and M. Waseem, (2010).“Fourth-order iterative methods for solving nonlinear equations,” International Journal of Applied Mathematics and Engineering Sciences, vol. 4, pp. 43–52
XVI. Manoj Kumar, Akhilesh Kumar Singh ,and Akanksha Srivastava (2015) “New Fifth Order Derivative Free Newton-Type Method for Solving Nonlinear Equations. Appl. Math. Inf. Sci. 9, No. 3, 1507-1513.
XVII. Muhammad Aslam Noor, Khalida Inayat Noor and Kshif Aftab(2012), Some New Iterative Methods for Solving Nonlinear Equations, World Applied Sciences Journal 20 (6): 870-874, 2012
XVIII. Muhammad Aslam Noor, Khalida Inayat Noor, Eisa Al-Said and Muhammad Wasee. Volume 2010 .Some New Iterative Methods for Nonlinear Equations, Hindawi Publishing Corporation Mathematical Problems in Engineering
XIX. Noor, M. A., F. Ahmad, (2006), Numerical compression of iterative method for solving non linear equation Applied Mathematics and Computation, 167-172.
XX. Pinakee Dey, M. Zulfikar Ali,M.Shamsul Alam,K.C. Roy, “An Asymptotic Method For Time Dependent Nonlinear Systems With Varying Coefficients”, J. Mech. Cont. & Math. Sci., Vol.-3, No.-1, December (2008) pp 354-370
XXI. Rafiq, A., S. M. Kang and Y. C. Kwun., 2013. A New Second-Order Iteration Method for Solving Nonlinear Equations, Hindawi Publishing Corporation Abstract and Applied Analysis Volume2013, Article ID 487062.
XXII. Shahani, Zulfiqar Ali, Ashfaque Ahmed Hashmani, and Muhammad Mujtaba Shaikh. “Steady state stability analysis and improvement using eigenvalues and PSS.” Engineering, Technology & Applied Science Research 10, no. 1 (2020): 5301-5306.
XXIII. Shaikh, M. M. , Massan, S-u-R. and Wagan, A. I. (2019). A sixteen decimal places’ accurate Darcy friction factor database using non-linear Colebrook’s equation with a million nodes: a way forward to the soft computing techniques. Data in brief, 27 (Decemebr 2019), 104733.
XXIV. Shaikh, M. M., Massan, S-u-R. and Wagan, A. I. (2015). A new explicit approximation to Colebrook’s friction factor in rough pipes under highly turbulent cases. International Journal of Heat and Mass Transfer, 88, 538-543.
XXV. Singh, A. K., M. Kumar and A. Srivastava, 2015. A New Fifth Order Derivative Free Newton-Type Method for Solving Nonlinear Equations, Applied Mathematics & Information Sciences an International Journal 9, No. 3, 1507-1513
XXVI. Tanakan, S., (2013). A New Algorithm of Modiﬁed Bisection Method for Nonlinear Equation. Applied Mathematical Sciences”, Vol. 7, no. 123, 6107 – 6114 HIKARI Ltd.
XXVII. Yasmin, N., M.U.D. Junjua, (2012). Some Derivative Free Iterative Methods for Solving Nonlinear Equations, ISSN-L: 2223-9553, ISSN: 2223-9944 Vol. 2, No.1. 75-82.

HIGH PERFORMANCE CONCRETE HAVING SILICA FUME AND METAKAOLIN AS A LIMITED REPLACEMENT OF CEMENT

Authors:

Adeed Khan, Fahad Ullah, Muhammad Hasnain, Mohammad Adil, Amjad Islam, Muhammad Saqib

DOI NO:

https://doi.org/10.26782/jmcms.2020.10.00009

Abstract:

The reason for this investigation is to create HPC using locally accessible ingredients in Pakistan. The trial study incorporates the utilization of silica fume and Metakaolin mostly. The mixture of preliminaries is made utilizing various volumes of the local supplementary cementitious materials SCM and aggregates to deliver HPC. Different tests are carried out, for example, compressive strength, Rapid chloride Penetration test and Concrete cured in dilute sulphuric acid solution are assessed. The water to cement proportion was kept as .5. Every concrete samples have 0, 5, 10, 15 and 20 percent cement replacing with metakaolin and silica fume halfway. The compression strength tests are done on 28 and 90 days of cured specimens. The rapid chloride permeability test and compressive strength on the concrete cylinder when place in dilute sulphuric acid solution is done after 28 days. The outcomes appeared by utilizing MK and SF in concrete improves the mechanical properties of the concrete with different degrees up to some level. The compressive quality of the concrete cylinder is maxed on 15% cement replacing with SCM. At 5% MK and SF cement replacement the strength of the concrete samples cured in dilute H₂SO₄ after 28 days shows rising in the result and its strength decreases at 10% cement replacement with SCMs than its strength increased again and gives max compressive strength with 15% replacement then strength reduces again at 20% cement additional with MK and SF moderately. The charge passing rate is maxed for normal concrete samples of RCPT. There is an inverse relationship between the charge passage and cement replacement. The Charge passage is decreased by increasing the quantity of cement additional with SCMs. 20% cement additional has the least charge level and is the best mix among all.

Keywords:

High Performance Concrete,Silica Fume,Metakaolin,

Refference:

I. Alireza Khaloo, Mohammad Hossein Mobini,Payam Hosseini. “Influence of different types of nano-SiO2 particles on properties of high-performance concrete.” Construction and Building Materials (2016): 188-201.
II. A. Pineaud, P. Pimienta, S. Remond, H. Carre. “Mechanical properties of high performance self-compacting concretes at room and high temperature.” Construction and Building Materials (2016): 747-755.
III. C.S. Poon, S.C. Kou,L. Lam. “Compressive strength, chloride diffusivity and pore structure of high performance metakaolin and silica fume concrete.” Construction and Building Materials (2006): 858–865.
IV. Jowhar Hayat, Saqib Shah, Faisal Hayat Khan, Mehr E Munir, “Study on Utilization of Different Lightweight Materials Used in the Manufacturingof Lightweight Concrete Bricks/Blocks”, J.Mech.Cont.& Math. Sci., Vol.-14, No.2, March-April (2019) pp 58-71
V. Hoang-Anh Nguyen, Ta-Peng Chang, Jeng-Ywan Shih,Chun-Tao Chen,Tien-Dung Nguyen. “Engineering properties and durability of high-strength self-compacting.” Construction and Building Materials (2017): 670-677.
VI. Krishnan B, Singh A, Singhal D. “Mix Design of high performance concrete and effect different type of cement on high performance concrete, Proceeding of National conference on High rise building, New Delhi,.” material and Practices (2006): 11-18.
VII. Laskar AI, Talukdar S. “A new mix design method for high performance concrete.” Asian Journal of Civil Engineering (Building and Housing) (2008): 15-23.
VIII. Mostafa Jalal, Alireza Pouladkhan, Omid Fasihi Harandi, Davoud Jafari. “Comparative study on effects of Class F fly ash, nano silica and silica fume on properties of high performance self compacting concrete.” Construction and Building Materials (2014): 90-104.
IX. Phong Thanh Nguyen, Thu Anh Nguyen,Quyen Le Hoang Thuy To Nguyen,Vy Dang Bich Huynh, “APPLICATION OF SWOT FOR CONSTRUCTION COMPANY QUALITY MANAGEMENT USING BUILDING INFORMATION MODELLING”, J.Mech.Cont.& Math. Sci., Vol.-13, No.-5, November-December (2018) Pages 25-33

IDENTIFICATION OF MOST CRITICAL, MODERATE CRITICAL AND NON-CRITICAL REGIONS REGARDING ENVIRONMENTAL NOISE POLLUTION FOR UNIVERSITY ROAD, PESHAWAR PAKISTAN

Authors:

Musaab Habib Bangash, M. Mahboob Alam, Muhammad Zeeshan Ahad

DOI NO:

https://doi.org/10.26782/jmcms.2020.10.00010

Abstract:

Our modern era doesn’t mean only that we have industrialized or have advancements in technology but the increment in pollution is also the result of modernization. With the increase in population, the burden on the urban infrastructure of city centers is increasing with each passing day. This increased burden is specially manifested in the increase in traffic density on roads and traffic flow and is mainly known for the production of noise pollution. University Road, Peshawar Pakistan which is a very dense and important hub for education, hospitals and other commercial markets was studied for noise pressure levels and identification of vulnerable regions. Among 30 regions of section 8 were categorized as non-critical,17 were found moderate critical and 5 were found most critical regions.

Keywords:

environmental noise,noise pressure levels,critical regions ,

Refference:

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