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Implementing a Type of Block Predictor-Corrector Mode for Solving Second Order Ordinary Differential Equations

Oghonyon, J. G. and Okunuga, S. A. and Omoregbe, N. A. (2016) Implementing a Type of Block Predictor-Corrector Mode for Solving Second Order Ordinary Differential Equations. Journal of Applied Sciences, Engineering and Technology. (In Press)

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Abstract

The paper is geared towards implementing a type of block predictor-corrector mode capable of integrating general second order ordinary differential equations using variable step size technique will be carried out on nonstiff problems. The mode which emanated from Milne’s estimate has many computation advantages such as changing and designing a suitable step size, correcting to convergence, error control/minimization with better accuracy compare to other methods with fixed step size. Moreover, the approach will adopt the estimates of the principal local truncation error on a pair of explicit (predictor) and implicit (corrector) Adams family which are implemented in P(CE)m mode. Numerical examples are given to examine the efficiency of the method and compared with subsisting methods

Item Type: Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Engineering, Science and Mathematics > School of Mathematics
Depositing User: Dr Jimevwo Godwin Oghonyon
Date Deposited: 26 Feb 2016 12:33
Last Modified: 26 Feb 2016 12:33
URI: http://eprints.covenantuniversity.edu.ng/id/eprint/6233

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