Application of Jacobi polynomials to approximate solution of a complete singular integral equation with Cauchy kernel on the real half-line

Abstract

Jacobi polynomials are used to derive approximate solutions of the complete singular integral equation with Cauchy–type kernel defined on the real half–line in the case of constant complex coefficients. Moreover, estimations of errors of the approximated solutions are presented and proved.

Authors and Affiliations

Dorota Pylak

Keywords

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  • EP ID EP236284
  • DOI 10.26485/0459-6854/2017/67.1/10
  • Views 51
  • Downloads 0

How To Cite

Dorota Pylak (2017). Application of Jacobi polynomials to approximate solution of a complete singular integral equation with Cauchy kernel on the real half-line. Bulletin de la Société des sciences et des lettres de Łódź, Série: Recherches sur les déformations, 0(1), 133-148. https://europub.co.uk/articles/-A-236284