Abdullahi, Yahaya Aliyu and Omar, Zurni and Kuboye, John Olusola (2016) Derivation of block predictor–block corrector method for direct solution of third order ordinary differential equations. Global Journal of Pure and Applied Mathematics, 12 (1). pp. 343-350. ISSN 0973-1768

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Abstract

This paper proposes a new numerical method with stepnumber k=5 for solving third order initial value problems of ordinary differential equations directly.Interpolation and collocation technique is applied in developing the method where power series approximate solution is used as a basis function and its third derivative as a collocation equation. The new method developed possesses the following properties namely zero–stability, consistency, convergence and having order six for the main method. The application of the method to some third order initial value problems confirmed its superiority over the existing method when compared in terms of error.

Item Type:	Article
Uncontrolled Keywords:	Interpolation, Collocation, Block Predictor-Corrector method, Direct solution, Third order initial value problem.
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 02:29
Last Modified:	22 Dec 2020 02:29
URI:	https://repo.uum.edu.my/id/eprint/27976

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