IJPAM: Volume 88, No. 1 (2013)

A GENERALIZED SCHEME FOR THE NUMERICAL
SOLUTION OF INITIAL VALUE PROBLEMS IN ORDINARY
DIFFERENTIAL EQUATIONS BY THE RECURSIVE
FORMULATION OF TAU METHOD

K. Issa$^1$, R.B. Adeniyi$^2$
$^1$Department of Mathematics
Kwara State University Malete
Ilorin, NIGERIA
$^2$Department of Mathematics
University of Ilorin
Ilorin, NIGERIA


Abstract. The generalization of the recursive form of the tau method for both overdetermined and non-overdetermined ordinary differential equations of the initial value type is the main thrust of the work reported here. This will facilitate an automation of this variant of the method and consequently an efficient utilization of the technique.

Results from the numerical experiment confirm the validity and effectiveness of the derived scheme.

Received: May 3, 2013

AMS Subject Classification: 34K28

Key Words and Phrases: Lanczos Tau method, Chebyshev polynomials, initial value problems, Lanczos-Ortiz canonical polynomial, ordinary differential equations

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DOI: 10.12732/ijpam.v88i1.1 How to cite this paper?
Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 88
Issue: 1