Omar, Zurni and Kuboye, John Olusola (2015) A new implicit block method for solving second order ordinary differential equations directly. Gazi University Journal of Science, 28 (4). pp. 689-694. ISSN 2147-1762

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Abstract

This article considers the derivation of an implicit block method for the solution of initial value problems of ordinary differential equations directly. The method of interpolation and collocation is adopted in developing the method where approximated power series is used as an interpolation polynomial and its second derivative is collocated at the selected grid points where k=5.The method developed is zero stable, consistent and convergent. The generated numerical results show that the new method is better when compared with the existing methods of the same step-length in terms of error.

Item Type:	Article
Uncontrolled Keywords:	Power series, Interpolation, Collocation, Block Method, Ordinary Differential Equations.
Subjects:	Q Science > QA Mathematics
Divisions:	School of Quantitative Sciences
Depositing User:	Prof. Dr. Zurni Omar
Date Deposited:	22 Aug 2016 07:48
Last Modified:	22 Aug 2016 07:48
URI:	https://repo.uum.edu.my/id/eprint/18609

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