Approximate solution of a system of singular integral equations of the first kind by using Chebyshev polynomials
arXiv:1508.018731.21 citations
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This work provides a numerical method for solving a specific class of integral equations, which is incremental for applied mathematics.
The authors propose a Chebyshev polynomial-based method for numerically solving systems of Cauchy-type singular integral equations of the first kind, with error estimation and numerical results showing effectiveness.
The aim of the present work is to introduce a method based on Chebyshev polynomials for the numerical solution of a system of Cauchy type singular integral equations of the first kind on a finite segment. Moreover, an estimation error is computed for the approximate solution. Numerical results demonstrate effectiveness of the proposed method.