Numerical solution of Volterra-Fredholm integral equations by moving least square method and Chebyshev polynomials

被引：33
|
作者：
Dastjerdi, H. Laeli [1 ]
Ghaini, F. M. Maalek [1 ]
机构：
[1] Yazd Univ, Dept Math, Yazd, Iran
来源：
APPLIED MATHEMATICAL MODELLING | 2012年 / 36卷 / 07期
关键词：
Volterra-Fredholm integral equations; Moving least squares approximation; Chebyshev polynomials; Quadrature method; Convergence analysis;
D O I：
10.1016/j.apm.2011.10.005
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, we use a method based on moving least squares method and Chebyshev polynomials for numerical solution of Volterra-Fredholm integral equations of the second kind. The main advantage of this method is that it does not need a mesh, neither for purposes of interpolation nor for integration. The convergence of the method is investigated, and finally some examples are given to show the applicability of the method. (C) 2011 Elsevier Inc. All rights reserved.
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页码：3277 / 3282
页数：6
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