Abdelrahim, Ra`ft and Omar, Zurni and Hijazi, Mohamaad and Alsafi, Firas (2019) An accurate continuous hybrid block Method for the Direct Solution of general second initial value problem. Journal of Modern Mathematics and Statistics, 13 (1). pp. 15-20. ISSN 19945388

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Abstract

In this research, a new hybrid block method of order 5 for solving second order Initial Value Problems (IVPs) is determined. One step with 3 off step points is used to generate the coefficients of the new method. This method approximates the solutions of the second order IVPS at xn+1/6, xn+2/6, xn+3/6, xn+1, concurrently by using interpolation and collocation approach with fixed step size. The developed method don’t need to reduce the IVPs to its equivalent system of first order IVPs. The numerical results obtained show that the new method outperforms the existing methods in terms of error.

Item Type:	Article
Uncontrolled Keywords:	Hybrid method, second order differential equation, power series, three off step point, block, IVPs
Subjects:	Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Divisions:	School of Quantitative Sciences
Depositing User:	Mrs. Norazmilah Yaakub
Date Deposited:	30 Nov 2020 01:02
Last Modified:	30 Nov 2020 01:02
URI:	https://repo.uum.edu.my/id/eprint/27924

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