Rational Chebyshev tau method for solving higher-order ordinary differential equations. (English) Zbl 1047.65052

Parand, K.; Razzaghi, M.

Int. J. Comput. Math. 81, No. 1, 73-80 (2004).

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:

65L05	Numerical methods for initial value problems involving ordinary differential equations
34A30	Linear ordinary differential equations and systems
65L60	Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations

Keywords:

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

References:

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