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Milne’s implementation on block predictor-corrector methods

Oghonyon, J. G. and Okunuga, S. A. and Iyase, S.A . (2016) Milne’s implementation on block predictor-corrector methods. Journal of Applied Sciences, 16 (5). pp. 236-241. ISSN 1812-5654

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Milne’s implementation on block predictor-corrector methods for integration nonstiff ordinary differential equations is been considered. The introduction of Milne’s implementation attracts a lot of computational benefits, which guarantees step size variation, convergence criteria and error control. Existence and uniqueness for the nonstiff problems were recognized. The approach was employ Milne’s implementation of the principal local truncation error on a pair of predictor-corrector method of Adams type formulas, which is implemented either P(EC)m or P(EC)mE mode. The implementation of Milne’s estimate and evaluation of the block method for nonstiff ODEs was analyzed in details. In addition, an algorithm for the implementation of the method was specified.

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: 19 Jun 2017 08:03
Last Modified: 19 Jun 2017 08:03

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