Abstract

NEW BASIC RATIONAL APPROXIMATION METHOD FOR SOLVING SINGULAR INITIAL VALUE PROBLEMS OF ORDINARY DIFFERENTIAL EQUATIONS

M. O. Ogunniran and R. B. Adeniyi

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Abstract Most numerical methods for solving Initial Value Problems (IVPs) of Ordinary Differential Equations (ODEs) are based on the local representation of the theoretical solution to problems near singular or singular IVPs by polynomials in and this presents poor integration of the IVPs. Rational methods are found suitable for numerical solution of such problems thus, in this paper we derive and implement a new numerical method based on the rational approximation of the theoretical solution of singular IVPs. Numerical examples are presented. Keywords: Singularity, Singular Initial Value Problems, Rational Approximation, Stability.

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