A 5-Step Block Predictor and 4-Step Corrector Methods for Solving General Second Order Ordinary Differential Equations

Oghonyon, J. G. and Okunuga, Solomon A. and Bishop, S.A. (2015) A 5-Step Block Predictor and 4-Step Corrector Methods for Solving General Second Order Ordinary Differential Equations. Global Journal of Pure and Applied Mathematics., 11 (5). pp. 3847-3862. ISSN 0973-1768

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Abstract

A 5-step block predictor and 4-step corrector methods aimed at solving general second order ordinary differential equations directly will be constructed and implemented on non-stiff problems. This method, which extends the work of block predictor-corrector methods using variable step size technique possess some computational advantages of choosing a suitable step size, deciding the stopping criteria and error control. In addition, some selected theoretical properties of the method will be investigated as well as determination of the region of absolute stability. Numerical results will be given to show the efficiency of the new method

Item Type:	Article
Uncontrolled Keywords:	predictor-corrector methods, stopping criteria, region of absolute stability, variable step size technique
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Engineering, Science and Mathematics > School of Mathematics
Depositing User:	Mrs Patricia Nwokealisi
Date Deposited:	18 Dec 2015 15:59
Last Modified:	02 Dec 2016 11:06
URI:	http://eprints.covenantuniversity.edu.ng/id/eprint/5743

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