Rational Chebyshev Collocation Method for Solving Higher-Order Linear Ordinary Differential Equations

被引：13

作者：

Sezer, Mehmet ^{[1
]}

Gulsu, Mustafa ^{[1
]}

Tanay, Bekir ^{[1
]}

机构：

[1] Mugla Univ, Dept Math, Fac Sci, Mugla, Turkey

来源：

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2011年 / 27卷 / 05期

关键词：

collocation methods; higher-order ordinary differential equations; rational Chebyshev functions; VARIABLE-COEFFICIENTS; INTEGRODIFFERENTIAL EQUATIONS; POLYNOMIAL SOLUTIONS; LAGUERRE FUNCTIONS; INFINITE INTERVAL; UNBOUNDED-DOMAINS; SPECTRAL METHODS; TAU-METHOD; SYSTEMS; FLOW;

D O I：

10.1002/num.20573

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A collocation method to find an approximate solution of higher-order linear ordinary differential equation with variable coefficients under the mixed conditions is proposed. This method is based on the rational Chebyshev (RC) Tau method and Taylor-Chebyshev collocation methods. The solution is obtained in terms of RC functions. Also, illustrative examples are included to demonstrate the validity and applicability of the technique, and performed on the computer using a program written in maple9. (C) 2010 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 27: 1130-1142, 2011

引用

页码：1130 / 1142

页数：13

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