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

Authors

  • Iskandar Shah Mohd Zawawi Universiti Teknologi MARA

DOI:

https://doi.org/10.5556/j.tkjm.51.2020.2964

Keywords:

Block method, ordinary differential equations, stiff, oscillating

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.

References

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Additional Files

Published

2020-06-25

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

Section

Papers