A Variable-stpe-size Block Predictor-corrector Method for Ordinary Differential Equations

Oghonyon, G.J. and Okunuga, S. A. and Bishop, S.A. (2017) A Variable-stpe-size Block Predictor-corrector Method for Ordinary Differential Equations. Asian Journal of Applied Sciences , 10 (2). pp. 96-101. ISSN 1996-3343

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Abstract

A Variable-stpe-size Block Predictor-corrector Method for Ordinary Differential Equations Background and Objective: Over the years, block predictor-corrector method has been limited to predicting and correcting methods without further use. Predictor-corrector method possesses other attributes that utilize the Principal Local Truncation Error (PLTE) to design a suitable step size, tolerance level and control error. This study examined a variable step-size block predictor-corrector method for solving first-order Ordinary Differential Equations (ODEs). Materials and Methods: The combination of Newton’s backward difference interpolation polynomial and numerical integration methods were applied and evaluated at some selected grid points to formulate the block predictor-corrector method. Nevertheless, this process advances to generate the PLTE of the block predictor-corrector method after establishing the order of the method. Results: The numerical results were shown to demonstrate the performance of the variable step-size block predictor-corrector method in solving first-order ODEs. The complete results were incurred with the aid of Mathematica 9 kernel for Microsoft windows (64bit). Conclusion: Numerical results showed that the variable-step-size block predictor-corrector method is more effective and perform better than existing methods in terms of the maximum errors at all tested tolerance levels as well as designing a suitable step size to control error.

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 07:58
Last Modified:	19 Jun 2017 07:58
URI:	http://eprints.covenantuniversity.edu.ng/id/eprint/8330

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