Alkasassbeh, Mohammad and Omar, Zurni (2017) Implicit one-step block hybrid third-derivative method for the direct solution of initial value problems of second-order ordinary differential equations. Journal of Applied Mathematics, 2017. pp. 1-8. ISSN 1110-757X

Preview

PDF Available under License Attribution 4.0 International (CC BY 4.0). Download (1MB) | Preview

Abstract

A new one-step block method with generalized three hybrid points for solving initial value problems of second-order ordinary differential equations directly is proposed. In deriving this method, a power series approximate function is interpolated at {xn,xn+r} while its second and third derivatives are collocated at all points {xn,xn+r,xn+s,xn+t,xn+1} in the given interval. The proposed method is then tested on initial value problems of second-order ordinary differential equations solved by other methods previously. The numerical results confirm the superiority of the new method to the existing methods in terms of accuracy.

Item Type:	Article
Subjects:	Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Divisions:	School of Quantitative Sciences
Depositing User:	Prof. Dr. Zurni Omar
Date Deposited:	07 Jun 2017 01:39
Last Modified:	07 Jun 2017 01:39
URI:	https://repo.uum.edu.my/id/eprint/22305

Actions (login required)

View Item