Numerical solutions of weakly singular Hammerstein integral equations
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摘要
In this paper, several methods for approximating the solution of Hammerstein equations with weakly singular kernels are considered. The paper is motivated by the results reported in papers [7, 12]. The orders of convergence of the proposed methods and those of superconvergence of the iterated methods are analyzed. Numerical examples are given to illustrate the theoretical results.
论文关键词：Galerkin-type method,Iterated Kantorovich method,Hammerstein equations,Weakly singular kernels,Superconvergence
论文评审过程：Received 25 July 2016, Revised 21 January 2018, Accepted 25 January 2018, Available online 28 February 2018, Version of Record 28 February 2018.
论文官网地址：https://doi.org/10.1016/j.amc.2018.01.046
