Efficient quadrature rules for numerical evaluation of singular and hyper singular integrals

Authors

  • Shafiq Ahmad Department of Mathematics, Islamia College University, Peshawar, Pakistan https://orcid.org/0000-0002-7271-0082
  • Siraj ul Islam University of Engineering and Technology, Peshawar, Pakistan

DOI:

https://doi.org/10.33959/cuijca.v6i1.65

Keywords:

Hybrid functions, Hadamard finite part integrals, Cauchy principle value integrals, Haar wavelets.

Abstract

In this paper Newton-Cote type quadrature rule, Haar wavelets, and hybrid functions-based quadratures are used for the numerical solution of singular and hyper singular integrals having singularity at the origin. These integrals include the Cauchy principle value (CPV) and Hadamard finite part (HFP) integrals. The proposed rules are tested numerically on some test problems to check the efficiency and accuracy of the new methods.

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Published

2023-12-12

How to Cite

Ahmad, S., & Islam, S. ul. (2023). Efficient quadrature rules for numerical evaluation of singular and hyper singular integrals. City University International Journal of Computational Analysis, 6(1), 22–29. https://doi.org/10.33959/cuijca.v6i1.65

Issue

Vol. 6 No. 1: Jan-Dec (2023)

Section

Articles

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Copyright (c) 2023 Shafiq Ahmad, Siraj ul Islam

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