A NEW AND EFFICIENT CENTROIDAL MEAN DERIVATIVE-BASED TRAPEZOIDAL SCHEME FOR NUMERICAL CUBATURE

Journal > Journal > Journal Vol – 16 No -3, March 2021 > A NEW AND EFFICIENT CENTROIDAL MEAN DERIVATIVE-BASED TRAPEZOIDAL SCHEME FOR NUMERICAL CUBATURE

March 26, 2021

Journal Vol – 16 No -3, March 2021

Authors:

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

DOI NO:

https://doi.org/10.26782/jmcms.2021.03.00003

Keywords:

Cubature,Double integrals,Centroidal mean Derivative-based scheme,Precision,Order of accuracy,Local and global errors,Trapezoid,

Abstract

This research presents a new and efficient Centroidal mean derivative-based numerical cubature scheme which has been proposed for the accurate evaluation of double integrals under finite range. The proposed modification is based on the Trapezoidal-type quadrature and cubature rules. The approximate values can only be obtained for some important applications to evaluate the complex double integrals. Higher precision and order of accuracy could be achieved by the proposed scheme. The schemes, in basic and composite forms, with local and global error terms are presented with necessary supporting arguments with their performance evaluation against conventional Trapezoid rule through some numerical experiments. The simultaneously observed error distributions of the proposed schemes are found to be lower than the conventional Trapezoidal cubature scheme in composite form

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