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Original Articles

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

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Pages 73-80 | Received 26 Feb 2003, Accepted 12 Mar 2003, Published online: 17 Nov 2017
 

Abstract

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.

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