Parallel Solver for Oscillatory Stiff Systems of ODEs

Agboola, O.O. and Oghonyon, J. G. and Abodunrin, T.J (2022) Parallel Solver for Oscillatory Stiff Systems of ODEs. WSEAS TRANSACTIONS on MATHEMATICS, 21. pp. 609-617. ISSN 2224-2880

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Abstract

The aim of this study will be to design Parallel solver (PS) for oscillatory stiff systems of ordinary differential equations (ODEs). PS will be constructed via a type of specially transformed exponentially fitted multinomial approximant in accordance with the behaviour of the solution. The method of interpolation and collocation will be utilized. The principal local truncation errors of PS will be used to derive a suitable step size and decide the error tolerance criteria for establishing the convergence of PS. Some examples of stiff ODEs will be examined and compared with existing methods to show case the efficiency and accuracy of the scheme. Parallel solver will be seen as a unique model for solving stiff ODEs without dependent on absolute stability as required by backward differentiation formula.

Item Type:	Article
Uncontrolled Keywords:	parallel solver; exponentially fitted method; stiff ODEs; error tolerance criteria; suitable variable step size
Subjects:	Q Science > QA Mathematics Q Science > QC Physics
Divisions:	Faculty of Engineering, Science and Mathematics > School of Mathematics Faculty of Engineering, Science and Mathematics > School of Physics
Depositing User:	nwokealisi
Date Deposited:	29 Sep 2022 11:34
Last Modified:	29 Sep 2022 11:34
URI:	http://eprints.covenantuniversity.edu.ng/id/eprint/16227

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