A Computational Approach in Estimating the Amount of Pond Pollution and Determining the Long Time Behavioural Representation of Pond Pollution Model

Oghonyon, J. G. and Okunuga, Solomon A. and Omoregbe, N. A. and Agboola, O.O. (2015) A Computational Approach in Estimating the Amount of Pond Pollution and Determining the Long Time Behavioural Representation of Pond Pollution Model. Global Journal of Pure and Applied Mathematics., 11 (5). pp. 2773-2785. ISSN 0973-1768

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Abstract

This paper specifically develops a computational approach in estimating the amount of pond pollution and determining the long time(every 48 hours) behavioural representation of the pond pollution model.This approach, which can be considered as an extension of the block predictor-corrector methods in form of implicit block multistep method has many computational advantages usingvariable step size technique. Moreover, it possesses some important advantages of designing a suitable step size, stopping criteria(prescribed tolerance level) and error control/minimization as well. This makes the new approach specifically efficient for solving systems of first-order ordinary differentialequations. Analysis of some theoretical properties of the method is carried out to ascertain the extent of performance of the method. Again, numerical results are given to display the performance and efficiency of this new method on system first-order ordinary differential equations.

Item Type:	Article
Uncontrolled Keywords:	Computational approach• Variable step size technique • Implicit block multistep method • Pond pollution • Stopping criteria
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:	23 Sep 2015 11:31
Last Modified:	02 Dec 2016 11:11
URI:	http://eprints.covenantuniversity.edu.ng/id/eprint/5475

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