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A Quantitative Comparison of Numerical Method for Solving Stiff Ordinary Differential Equations

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  • S. A. M. Yatim
  • Z. B. Ibrahim
  • K. I. Othman
  • M. B. Suleiman

Abstract

We derive a variable step of the implicit block methods based on the backward differentiation formulae (BDF) for solving stiff initial value problems (IVPs). A simplified strategy in controlling the step size is proposed with the aim of optimizing the performance in terms of precision and computation time. The numerical results obtained support the enhancement of the method proposed as compared to MATLAB's suite of ordinary differential equations (ODEs) solvers, namely, ode15s and ode23s.

Suggested Citation

  • S. A. M. Yatim & Z. B. Ibrahim & K. I. Othman & M. B. Suleiman, 2011. "A Quantitative Comparison of Numerical Method for Solving Stiff Ordinary Differential Equations," Mathematical Problems in Engineering, Hindawi, vol. 2011, pages 1-12, September.
    • Handle: RePEc:hin:jnlmpe:193691
    DOI: 10.1155/2011/193691
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    Cited by:

    1. Zarina Bibi Ibrahim & Amiratul Ashikin Nasarudin, 2020. "A Class of Hybrid Multistep Block Methods with A –Stability for the Numerical Solution of Stiff Ordinary Differential Equations," Mathematics, MDPI, vol. 8(6), pages 1-19, June.

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