Chiang Mai Journal of Science, Faculty of Science, Chiang Mai University

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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.
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