Approximate solution of higher order linear differential equations by means of a new rational Chebyshev collocation method

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Date

2010

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Publisher

Association for Scientific Research

Abstract

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. © Association for Scientific Research.

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Keywords

Rational functions , Approximate methods , Approximate solution , Chebyshev collocation method , Chebyshev functions , Higher-order ordinary differential equation , Linear differential equation , Linear ordinary differential equations , Variable coefficients , Ordinary differential equations

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http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/18486

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