BBDF-Alpha for solving stiff ordinary differential equations with oscillating solutions

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Published: Jun 25, 2020
DOI: https://doi.org/10.5556/j.tkjm.51.2020.2964
Keywords:
Block method ordinary differential equations stiff oscillating

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Iskandar Shah Mohd Zawawi
Universiti Teknologi MARA

Abstract

In this paper, the block backward differentiation α formulas (BBDF-α) is derived for solving first order stiff ordinary differential equations with oscillating solutions. The consistency and zero stability conditions are investigated to prove the convergence of the method. The stability region in the entire negative half plane shows that the derived method is A-stable for certain values of α. The implementation of the method using Newton iteration is also discussed. Several numerical experiments are conducted to demonstrate the performance of the method in terms of accuracy and computational time.

Article Details

How to Cite
Mohd Zawawi, I. S. (2020). BBDF-Alpha for solving stiff ordinary differential equations with oscillating solutions. Tamkang Journal of Mathematics, 51(2), 123–136. https://doi.org/10.5556/j.tkjm.51.2020.2964
Issue
Vol. 51 No. 2 (2020)
Section
Papers

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