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Adaptive order of block backward differentiation formulas for stiff ODEs


Citation

Ibrahim, Zarina Bibi and Mohd Nasir, N. A. A. and Othman, Khairil Iskandar and Zainuddin, Nooraini (2017) Adaptive order of block backward differentiation formulas for stiff ODEs. Numerical Algebra, Control and Optimization, 7 (1). 95 - 106. ISSN 2155-3289; ESSN: 2155-3297

Abstract

In this paper, Adapative Order of Block Backward Differentiation Formulas (ABBDFs) are formulated using uniform step size for the numerical solution of stiff ordinary differential equations (ODEs). These ABBDF methods are of order four, five and six. The benefit of the ABBDF methods is the computation time in the computation of solutions. Numerical results are presented to demonstrate the advantage of implementing adaptive order selection in a single code.


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Additional Metadata

Item Type: Article
Divisions: Institute for Mathematical Research
DOI Number: https://doi.org/10.3934/naco.2017006
Publisher: American Institute of Mathematical Sciences
Keywords: Adaptive; Block; Backward differentiation formulas; Order; Ordinary differential equations
Depositing User: Ms. Nida Hidayati Ghazali
Date Deposited: 28 Mar 2019 03:26
Last Modified: 28 Mar 2019 03:26
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.3934/naco.2017006
URI: http://psasir.upm.edu.my/id/eprint/60772
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