Numerical solution and its analysis for a system of hypersingular integral equations

作者：

Highlights：

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• A numerical method is proposed to find solution for the system of HSIE.

• The error bound is derived and convergence of approximate solutions is proved.

• All derived theoretical results are validated through test examples.

摘要

•A numerical method is proposed to find solution for the system of HSIE.•The error bound is derived and convergence of approximate solutions is proved.•All derived theoretical results are validated through test examples.

论文关键词：Singular integral equations,Hyper kernel,Legendre polynomials,Error bound,Galerkin method

论文评审过程：Received 6 March 2017, Revised 17 April 2018, Available online 26 May 2018, Version of Record 26 May 2018.

论文官网地址：https://doi.org/10.1016/j.cam.2018.04.052