A MODIFIED CLOSED-TYPE HYBRID QUADRATURE FOR THE NUMERICAL SOLUTION OF SINGULAR COMPLEX-VALUED INTEGRALS

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...

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Bibliographic Details
Published inJournal of mechanics of continua and mathematical sciences Vol. 20; no. 7
Main Authors Nayak, Bibhuranjan, Palai, Shubhankar, Krushna Behera, Dwiti, Singh, Tusar
Format Journal Article
LanguageEnglish
Published 18.07.2025
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Summary: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.
ISSN:0973-8975
2454-7190
DOI:10.26782/jmcms.2025.07.00010