Numerical solution of second order ODE directly by two point block backward differentiation formula

Citation

Zainuddin, Nooraini and Ibrahim, Zarina Bibi and Othman, Khairil Iskandar and Suleiman, Mohamed and Jamaludin, Noraini (2015) Numerical solution of second order ODE directly by two point block backward differentiation formula. In: 2nd Innovation and Analytics Conference & Exhibition (IACE 2015), 29 Sept.-1 Oct. 2015, TH Hotel, Alor Setar, Kedah. (pp. 1-6).

Abstract

Direct Two Point Block Backward Differentiation Formula, (BBDF2) for solving second order ordinary differential equations (ODEs) will be presented throughout this paper. The method is derived by differentiating the interpolating polynomial using three back values. In BBDF2, two approximate solutions are produced simultaneously at each step of integration. The method derived is implemented by using fixed step size and the numerical results that follow demonstrate the advantage of the direct method as compared to the reduction method.

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Additional Metadata

Item Type:	Conference or Workshop Item (Paper)
Divisions:	Faculty of Science
DOI Number:	https://doi.org/10.1063/1.4937080
Publisher:	AIP Publishing
Keywords:	Two point block backward differentiation formula; Second order ODE
Depositing User:	Nabilah Mustapa
Date Deposited:	24 Oct 2017 06:19
Last Modified:	24 Oct 2017 06:19
Altmetrics:	http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4937080
URI:	http://psasir.upm.edu.my/id/eprint/57594
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