Omar, Zurni and Abdullahi, Y. A. and Kuboye, J. O. (2016) Predictor-corrector block method of order seven for solving third order ordinary differential equations. International Journal of Mathematical Analysis, 10 (5). pp. 223-235. ISSN 13147579

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Abstract

This paper discusses the development of a new predictor-corrector block method of order seven for direct solution of third order initial value problems. The approach adopted in the derivation of the new numerical method is interpolation and collocation whereby power series approximate solution is used as an interpolation polynomial and its highest derivative is considered as a collocation equation. The properties of the new developed method such as zero-stability, order, error constant, consistency and convergence are investigated. The new method was applied to some third order ordinary differential equations in order to examine its accuracy and the results produced are found better when compared with the existing methods in terms of error.

Item Type:	Article
Uncontrolled Keywords:	Interpolation, Predictor-Corrector block method, Direct solution, Third order initial value problems
Subjects:	Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Divisions:	School of Quantitative Sciences
Depositing User:	Mrs. Norazmilah Yaakub
Date Deposited:	13 Dec 2020 06:09
Last Modified:	13 Dec 2020 06:09
URI:	https://repo.uum.edu.my/id/eprint/27960

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