文章基本信息

标题：An efficient algorithmic method to solve Hammerstein integral equations and application to a functional differential equation
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作者：E Abdolmaleki ; H Saberi Najafi
期刊名称：Advances in Mechanical Engineering
印刷版ISSN：1687-8140
电子版ISSN：1687-8140
出版年度：2017
卷号：9
期号：6
DOI：10.1177/1687814017701704
语种：English
出版社：Sage Publications Ltd.
摘要：In this article, we present an efficient method for solving nonlinear Fredholm integral equations of the second kind. The proposed method is based on the Galerkin method and transformations of shifted Chebyshev polynomials. This method is simple and computationally very attractive. Finally, illustrative examples and also the application of the proposed method to solve a functional differential equation are presented to show the validity and applicability of the technique.
关键词：Hammerstein equations; nonlinear Fredholm integral equation; shifted Chebyshev polynomials; Taylor expansion; Galerkin method