Rational Chebyshev tau method for solving higher-order ordinary differential equations

被引：62

作者：

Parand, K

Razzaghi, M

机构：

[1] Mississippi State Univ, Dept Math & Stat, Mississippi State, MS 39762 USA

[2] Amirkabir Univ Technol, Dept Appl Math, Tehran, Iran

[3] Amirkabir Univ Technol, Dept Math, Tehran, Iran

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2004年 / 81卷 / 01期

关键词：

rational Chebyshev; tau; higher-order; differential equations;

D O I：

10.1080/00207160310001606061b

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An approximate method for solving higher-order ordinary differential equations is proposed. The approach is based on a rational Chebyshev (RC) tau method. The operational matrices of the derivative and product of RC functions are presented. These matrices together with the tau method are utilized to reduce the solution of the higher-order ordinary differential equations to the solution of a system of algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the technique.

引用

页码：73 / 80

页数：8

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