A Chebyshev polynomial approach for linear Fredholm-Volterra integro-differential equations in the most general form

被引：31
|
作者：
Akyuz-Dascioglu, Aysegul [1 ]
机构：
[1] Pamukkale Univ, Fac Sci, Dept Math, Denizli, Turkey
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 181卷 / 01期
关键词：
Chebyshev collocation method; Chebyshev series approximation; Fredholm-Volterra integro-differential equations;
D O I：
10.1016/j.amc.2006.01.018
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The main purpose of this article is to present an approximation method for higher order linear Fredholm-Volterra integro-differential equations (FVIDE) in the most general form under the mixed conditions in terms of Chebyshev polynomials. This method transforms FVIDE and the conditions into the matrix equations which correspond to a system of linear algebraic equations with unknown Chebyshev coefficients. Finally, some examples are presented to illustrate the method and the results are discussed. (c) 2006 Elsevier Inc. All rights reserved.
引用
收藏
页码：103 / 112
页数：10
相关论文
共 50 条
12345