On the Approximate Solution of Integral Equations with Logarithmic Kernels Using the Third Kind of Chebyshev Polynomials
Numerical Analysis
2023-07-19 v1 Numerical Analysis
Abstract
An expansion procedure using third kind Chebyshev polynomials as base functions is suggested for solving second type Volterra integral equations with logarithmic kernels. The algorithm's convergence is studied and some illustrative examples are presented to show the method's efficiency and reliability, comparisons with other methods in the literature are made.
Keywords
Cite
@article{arxiv.2307.09419,
title = {On the Approximate Solution of Integral Equations with Logarithmic Kernels Using the Third Kind of Chebyshev Polynomials},
author = {M. R. A. Sakran},
journal= {arXiv preprint arXiv:2307.09419},
year = {2023}
}
Comments
12 pages