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Journal of Applied Sciences
  Year: 2016 | Volume: 16 | Issue: 5 | Page No.: 236-241
DOI: 10.3923/jas.2016.236.241
 
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Milne’s Implementation on Block Predictor-corrector Methods

Jimevwo Godwin Oghonyon, Solomon Adebola Okunuga and Samuel Azubuike Iyase

Abstract:
Milne’s implementation on block predictor-corrector methods for integrating 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 in P(EC)m or P(EC)m E 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.
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 RELATED ARTICLES:
  •    Softcode of Multi-Processing Milne’s Device for Estimating First-Order Ordinary Differential Equations
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How to cite this article:

Jimevwo Godwin Oghonyon, Solomon Adebola Okunuga and Samuel Azubuike Iyase, 2016. Milne’s Implementation on Block Predictor-corrector Methods. Journal of Applied Sciences, 16: 236-241.

DOI: 10.3923/jas.2016.236.241

URL: https://scialert.net/abstract/?doi=jas.2016.236.241

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