Authors:
Bibhuranjan Nayak,Shubhankar Palai,Dwiti Krushna Behera,Tusar Singh,DOI NO:
https://doi.org/10.26782/jmcms.2025.07.00010Keywords:
Cauchy principal value integrals,Gauss-Legendre transformed rule,closed-type anti-Gaussian transformed rule,mixed rule,singularity,Abstract
A novel closed-type modified anti-Gaussian 4-point transformed rule has been developed for solving Cauchy principal value complex integrals. Furthermore, a more precise mixed quadrature rule MQ(f), has been created by combining the closed-type modified quadrature rule with the Gauss-Legendre 2-point transformed technique. Theoretical analysis of errors confirms the enhanced performance of the newly proposed quadrature rule. Numerical computation of various sample integrals is performed. The numerical calculations demonstrate the superiority of the new rule among others.Refference:
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