A numerical method for solving systems of linear and nonlinear integral equations of the second kind by hat basis functions

被引：54
作者：
Babolian, E. [1 ]
Mordad, M. [1 ]
机构：
[1] IAU, Dept Math Sci, Sci & Res Branch, Tehran, Iran
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2011年 / 62卷 / 01期
关键词：
Fredholm integral equations; Volterra integral equations; Hat functions; Vector forms; Error analysis; DECOMPOSITION METHOD; EXPANSION METHOD; ADOMIAN METHOD; 2ND-KIND;
D O I：
10.1016/j.camwa.2011.04.066
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we use hat basis functions to solve the system of Fredholm integral equations (SFIEs) and the system of Volterra integral equations (SVIEs) of the second kind. This method converts the system of integral equations into a linear or nonlinear system of algebraic equations. Also, we consider the order of convergence of the method and show that it is O(h(2)). Application of the method on some examples show its accuracy and efficiency. (C) 2011 Elsevier Ltd. All rights reserved.
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页码：187 / 198
页数：12
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