"Application of Lerch Polynomials to Approximate Solution of Singular F" by Doaa Shokry Mohamed
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Applied Mathematics & Information Sciences

Author Country (or Countries)

Egypt

Abstract

In this paper, we develop an effective method based on Lerch polynomials to provide an approximate solution of various cases of Cauchy type singular integral equations. The method reduces the solution of given singular integral equation to the solution of a matrix equation corresponding to linear system of algebraic equations with unknown Lerch coefficients. Error estimation of the presented method is mentioned. Finally, several examples show the reliability and efficiently of the proposed method.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/160409

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