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Zbl 1047.65052
Parand, K.; Razzaghi, M.
Rational Chebyshev tau method for solving higher-order ordinary differential equations. (English)
[J] Int. J. Comput. Math. 81, No. 1, 73-80 (2004). ISSN 0020-7160; ISSN 1029-0265/e

Summary: 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.

MSC 2000:: *65L05 Initial value problems for ODE (numerical methods)
34A30 Linear ODE and systems
65L60 Finite numerical methods for ODE

Keywords: spectral methods; rational Chebyshev tau method; numerical examples; initial value problem

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Zentralblatt MATH Berlin [Germany]