Block backward differentiation formulas with automatic order selection for solving ordinary differential equations

Citation

Ibrahim, Zarina Bibi and M. Nasir, N. A. A. and Othman, Khairil Iskandar and Suleiman, Mohamed (2014) Block backward differentiation formulas with automatic order selection for solving ordinary differential equations. In: 19th International Conference on Applied Mathematics (AMATH '14), 15 - 17 Dec. 2014, Istanbul, Turkey. (pp. 146-152).

Abstract

In this paper, a class of Block Backward Differentiation Formulas (BBDFs) are developed using fixed step size with automatic order selection for the numerical solution of stiff ordinary differential equations (ODEs). The method is derived by combining the BBDF methods of order four, five and six as single code with strategy on order selection. The proposed BBDF is validated through numerical results on some standard problems found in the literature and comparisons are made with single order BBDF. Numerical results shows the advantage of using BBDF with automatic order selection for solving ODEs.

Download File

PDF (Full text)
33583.pdf - Published Version
Restricted to Repository staff only
Download (557kB)

Additional Metadata

Item Type:	Conference or Workshop Item (Paper)
Divisions:	Institute for Mathematical Research
Keywords:	Block backward differentiation formulas; Order; Ordinary differential equations.
Depositing User:	Erni Suraya Abdul Aziz
Date Deposited:	27 Mar 2015 08:26
Last Modified:	27 Mar 2015 08:26
URI:	http://psasir.upm.edu.my/id/eprint/33583
Statistic Details:	View Download Statistic

Actions (login required)

View Item