Omar, Zurni and Kuboye, John Olusola (2016) New seven-step numerical method for direct solution of fourth order ordinary differential equations. Journal of Mathematical and Fundamental Sciences, 48 (2). pp. 94-105. ISSN 23375760

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Abstract

A new numerical method for solving fourth order ordinary differential equations directly is proposed in this paper. Interpolation and collocation were employed in developing this method using seven steps. The use of the approximated power series as an interpolation equation was adopted in deriving the method. The basic properties of the new method such as zero-stability, consistency, convergence and order are established. The numerical results indicate that the new method gives better accuracy than the existing methods when it is applied to fourth ordinary differential equations.

Item Type:	Article
Uncontrolled Keywords:	block method; collocation; direct solution; interpolation; ordinary differential equations; seven-step
Subjects:	Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Divisions:	School of Quantitative Sciences
Depositing User:	Mrs. Norazmilah Yaakub
Date Deposited:	22 Dec 2020 02:23
Last Modified:	22 Dec 2020 02:23
URI:	https://repo.uum.edu.my/id/eprint/27969

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