An efficient algorithmic method to solve Hammerstein integral equations and application to a functional differential equation

被引：9
作者：
Abdolmaleki, E. [1 ]
Najafi, H. Saberi [1 ]
机构：
[1] Islamic Azad Univ, Dept Appl Math, Lahijan, Iran
来源：
ADVANCES IN MECHANICAL ENGINEERING | 2017年 / 9卷 / 06期
关键词：
Hammerstein equations; nonlinear Fredholm integral equation; shifted Chebyshev polynomials; Taylor expansion; Galerkin method; HOMOTOPY PERTURBATION METHOD; NUMERICAL-SOLUTION; NONLINEAR FREDHOLM; COLLOCATION METHOD; SUCCESSIVE INTERPOLATIONS; POSITIVE SOLUTIONS; GALERKIN METHOD; 2ND KIND; MATRIX;
D O I：
10.1177/1687814017701704
中图分类号：
O414.1 [热力学];
学科分类号：
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.
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页数：8
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