Note on numerical solution of the Fredholm singular integro-differential equation with Cauchy kernel by using Taylor-series expansion and Galerkin method

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摘要

We study the paper of Maleknejad and Arzhang (2006) with Taylor-series expansion and Galerkin method for Fredholm singular integro-differential equation with Cauchy kernel. We point out a basic error in the paper. Due to the basic error, our observations reveal that generally the suggested method should not be considered for a Fredholm singular integro-differential equation with Cauchy kernel.

论文关键词:Singular integral equation,Cauchy kernel,Improper integral

论文评审过程:Available online 22 November 2014.

论文官网地址:https://doi.org/10.1016/j.amc.2014.10.108