Chiang Mai Journal of Science

Direct Fifth Order Block Backward Differentiation Formulas for Solving Second Order Ordinary Differential Equations

Paper Type	Contributed Paper
Title	Direct Fifth Order Block Backward Differentiation Formulas for Solving Second Order Ordinary Differential Equations
Author	Nooraini Zainuddin [b,c], Zarina Bibi Ibrahim*[a,b], Khairil Iskandar Othman [d] and Mohamed Suleiman [a,b]
Email	zarinabb@upm.edu.my
Abstract: In this paper, a new fifth order Direct Block Backward Differentiation Formula (5-DBBDF) for solving second order stiff ordinary differential equations (ODEs) is presented. Five backwards steps are used to generate the coefficients of the 5-DBBDF. This method approximates the solutions at two points concurrently by using fixed step size and solved the second order ODEs directly without reducing the ODEs to a system of first order. Numerical results on some standard problems found in the literature are presented to validate the accuracy of the proposed method.
Start & End Page	1171 - 1181
Received Date	2014-11-12
Revised Date
Accepted Date	2015-04-12
Full Text	Download
Keyword	block method, second order ODEs, stiff
Volume	Vol.43 No.5 (OCTOBER 2016)
DOI
Citation	[b N.,Z.,C] Ibrahim*[a Z.,B.,B] [d] K.,I.,O.,[a M.,S., et al., Direct Fifth Order Block Backward Differentiation Formulas for Solving Second Order Ordinary Differential Equations, Chiang Mai Journal of Science, 2016; 43(5): 1171-1181.
View:779 Download:322