AN EFFICIENT BLOCK SOLVER OF TRIGONOMETRICALLY FITTED METHOD FOR STIFF ODEs

Oghonyon, J. G. and Adewale, Okunuga Solomon and Ogunniyi, P.O. (2022) AN EFFICIENT BLOCK SOLVER OF TRIGONOMETRICALLY FITTED METHOD FOR STIFF ODEs. Advances in Differential Equations and Control Processes, 28. pp. 73-98. ISSN 0974-3243

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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.

Item Type:	Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Engineering, Science and Mathematics > School of Mathematics
Depositing User:	nwokealisi
Date Deposited:	29 Sep 2022 11:16
Last Modified:	29 Sep 2022 11:16
URI:	http://eprints.covenantuniversity.edu.ng/id/eprint/16225

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