APPROXIMATE SOLUTION OF HIGHER ORDER LINEAR DIFFERENTIAL EQUATIONS BY MEANS OF A NEW RATIONAL CHEBYSHEV COLLOCATION METHOD

被引：4

作者：

Yalcinbas, Salih ^{[1
]}

Ozsoy, Nesrin ^{[2
]}

Sezer, Mehmet ^{[3
]}

机构：

[1] Celal Bayar Univ Muradiye, Fac Sci & Arts, Dept Math, Manisa, Turkey

[2] Adnan Menderes Univ, Fac Educ, Dept Math Educ, Aydin, Turkey

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

来源：

MATHEMATICAL & COMPUTATIONAL APPLICATIONS | 2010年 / 15卷 / 01期

关键词：

Rational Chebyshev Functions; Higher-order Ordinary Differential Equations; Taylor and Chebyshev Collocation Methods; VARIABLE-COEFFICIENTS; INTEGRODIFFERENTIAL EQUATIONS; POLYNOMIAL SOLUTIONS; INFINITE INTERVAL; UNBOUNDED-DOMAINS; SPECTRAL METHODS; SYSTEMS;

D O I：

10.3390/mca15010045

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, a new approximate method for solving higher-order linear ordinary differential equations with variable coefficients under the mixed conditions is presented. The method is based on the rational Chebyshev (RC) Tau, Chebyshev and Taylor collocation methods. The solution is obtained in terms of rational Chebyshev (RC) functions. Also, illustrative examples are given to demonstrate the validity and applicability of the method.

引用

页码：45 / 56

页数：12

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