Adopting a Variable Step Size Approach in Implementing Implicit Block Multi-Step Method for Non-Stiff Ordinary Differential Equations

Oghonyon, J. G. and Okunuga, Solomon A. and Omoregbe, N. A. and Agboola, O.O. (2015) Adopting a Variable Step Size Approach in Implementing Implicit Block Multi-Step Method for Non-Stiff Ordinary Differential Equations. Journal of Engineering and Applied Sciences, 10 (7). pp. 174-180. ISSN 1816-949X

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Abstract

In this study, a variable step size approach is adopted in implementing Implicit Block Multi-step Method for solving non-stiff ordinary differential equations. This idea has many computational advantages when compared with other methods. They include designing a suitable step size/changing the step size, stopping criteria (prescribed tolerance level) and error controVminimization. This approach utilizes the estimates of the principal local tnmcation error on a pair of explicit and implicit of Adams type formulas which are implemented in P(CEt mode. Gauss Seidel approach is employed for the implementation of the proposed method. Nlllllerical experiments are given to show the efficiency of the method

Item Type:	Article
Uncontrolled Keywords:	Variable step size technique, Implicit Block Multi-step Method, non-stiff ODEs, prescribed tolerance level, Gauss Seidel approach
Subjects:	Q Science > QA Mathematics Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Divisions:	Faculty of Engineering, Science and Mathematics > School of Mathematics
Depositing User:	Mrs Patricia Nwokealisi
Date Deposited:	18 Dec 2015 16:11
Last Modified:	02 Dec 2016 11:07
URI:	http://eprints.covenantuniversity.edu.ng/id/eprint/5745

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