Application of Jacobi polynomials to approximate solution of a singular integral equation with Cauchy kernel
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摘要
In this paper, exact solution of the characteristic equation with Cauchy kernel on the interval [−1, 1] is presented. Next, Jacobi polynomials are used to derive approximate solutions of the characteristic and general Cauchy-type singular integral equations. Moreover, estimations of errors of the approximated solutions are presented and proved.
论文关键词：Jacobi polynomials,Singular integral equations,Cauchy kernel,Approximate solutions
论文评审过程：Available online 13 March 2006.
论文官网地址：https://doi.org/10.1016/j.amc.2006.01.054
