Numerical solution of functional differential, integral and integro-differential equations

被引：65
|
作者：
Rashed, MT [1 ]
机构：
[1] Sohag Univ, Fac Sci, Dept Math, Sohag 82516, Egypt
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2004年 / 156卷 / 02期
关键词：
Lagrange interpolation; functional integral equations of the second kind; functional integro-differential equations; functional differential equations of first or second order; Chebyshev interpolation;
D O I：
10.1016/j.amc.2003.08.021
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper describes a numerical method, based on Lagrange interpolation and Chebyshev interpolation, to treat functional integral equations of Volterra type and Fredholm type. Also, the method can be extended to functional differential and integro-differential equations. Various numerical examples are treated. (C) 2003 Elsevier Inc. All rights reserved.
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页码：485 / 492
页数：8
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