THE REVERSED ESTIMATION OF VARIABLE STEP SIZE IMPLEMENTATION FOR SOLVING NONSTIFF ORDINARY DIFFERENTIAL EQUATIONS

Oghonyon, J. G. and Imaga, O. F. and Ogunniyi, P.O. (2018) THE REVERSED ESTIMATION OF VARIABLE STEP SIZE IMPLEMENTATION FOR SOLVING NONSTIFF ORDINARY DIFFERENTIAL EQUATIONS. International Journal of Civil Engineering and Technology (IJCIET), 9 (8). pp. 332-340. ISSN 0976-6316

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Abstract

This study is design to examine the reversed estimation of variable step-size implementation for solving nonstiff ordinary differential equations. This is exclusively dependent on the principal local truncation error of both predictor and corrector formulae of the same order. Collocation and interpolation methods with the aid of power series as the approximate function is utilized in the construction of a class of predictor and corrector formulae of the same order with distinct. The computed results existed in literatures demonstrated the performance of the method over existing methods. The reversed estimation of predictor and corrector formulae is solely the predictor formulae and also, draws a lot of computational benefits which insures convergence, tolerance level, monitoring the step size and maximum errors.

Item Type:	Article
Uncontrolled Keywords:	Predictor and corrector formulae, Tolerance level, Maximum errors,Distinct k-step, Principal local truncation error.
Subjects:	Q Science > Q Science (General) Q Science > QA Mathematics
Divisions:	Faculty of Engineering, Science and Mathematics > School of Mathematics
Depositing User:	Mrs Hannah Akinwumi
Date Deposited:	07 Sep 2018 08:54
Last Modified:	07 Sep 2018 08:54
URI:	http://eprints.covenantuniversity.edu.ng/id/eprint/11509

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