An efficient algorithm for solving Fredholm integro-differential equations with weakly singular kernels

作者：

Highlights：

• The PHPM is used to solve equations with weakly singular kernels.

• The concrete algorithm and the selection of parameters are described clearly.

• The Gauss rule and low-order interpolation are used to improve the calculation speed.

• A high accuracy can be obtained by our method if the exact solution is smooth enough.

摘要

•The PHPM is used to solve equations with weakly singular kernels.•The concrete algorithm and the selection of parameters are described clearly.•The Gauss rule and low-order interpolation are used to improve the calculation speed.•A high accuracy can be obtained by our method if the exact solution is smooth enough.

论文关键词：45G10,Weakly singular Fredholm integro-differential equation,Piecewise homotopy perturbation method

论文评审过程：Received 2 May 2013, Revised 16 August 2013, Available online 26 August 2013.

论文官网地址：https://doi.org/10.1016/j.cam.2013.08.018