AN EFFICIENT BLOCK SOLVER OF TRIGONOMETRICALLY FITTED METHOD FOR STIFF ODEs

Oghonyon JimevwoGodwin; Okunuga SolomonAdewale; Ogunniyi PeterOluwatomi

Oghonyon JimevwoGodwin Department of Mathematics, Covenant University, Ota, Nigeria
Okunuga SolomonAdewale Department of Mathematics, University of Lagos, Lagos, Nigeria
Ogunniyi PeterOluwatomi Department of Mathematics, Covenant University, Ota, Nigeria

Article ID: 2571

Keywords: block solver; trigonometrically fitted method; stiff ODEs; tolerance level; suited varying step size

Abstract

An efficient block solver of trigonometrically fitted method for stiff ODEs has been developed. This block solver utilizes a special trigonometrically fitted method as the basis function approximation with the introduction of varying step, varying order and suitably varying step size. The idea of interpolation and collocation is utilized out via trigonometrically fitted method. Some theoretical properties of block solver are also investigated. To demonstrate the efficiency and accuracy of the method, we solve some examples of stiff ODEs.

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