Numerical solutions of weakly singular Hammerstein integral equations

C. Allouch, D. Sbibih and M. Tahrichi

Applied Mathematics and Computation, 2018, vol. 329, issue C, 118-128

Abstract: 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.

Keywords: Galerkin-type method; Iterated Kantorovich method; Hammerstein equations; Weakly singular kernels; Superconvergence (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:329:y:2018:i:c:p:118-128

DOI: 10.1016/j.amc.2018.01.046

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