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A-EBDF: an adaptive method for numerical solution of stiff systems of ODEs

Author

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  • Hojjati, G.
  • Rahimi Ardabili, M.Y.
  • Hosseini, S.M.

Abstract

In this paper a one parameter predictor–corrector method, which we call it A-EBDF, is introduced and analyzed. With a modification of A-BDF and EBDF methods we propose a multistep method whose region of absolute stability is larger than those of A-BDF and EBDF methods.

Suggested Citation

  • Hojjati, G. & Rahimi Ardabili, M.Y. & Hosseini, S.M., 2004. "A-EBDF: an adaptive method for numerical solution of stiff systems of ODEs," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 66(1), pages 33-41.
    • Handle: RePEc:eee:matcom:v:66:y:2004:i:1:p:33-41
    DOI: 10.1016/j.matcom.2004.02.019
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    Cited by:

    1. Moosa Ebadi & M. Y. Gokhale, 2014. "Solving nonlinear parabolic PDEs via extended hybrid BDF methods," Indian Journal of Pure and Applied Mathematics, Springer, vol. 45(3), pages 395-412, June.
    2. Amin, Fahs & Zakeri, Ali & Wanko, Adrien, 2021. "Time-dependent solution for natural convection in a porous enclosure using the Darcy–Lapwood–Brinkman model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 182(C), pages 39-65.
    3. Aydin Secer & Neslihan Ozdemir & Mustafa Bayram, 2018. "A Hermite Polynomial Approach for Solving the SIR Model of Epidemics," Mathematics, MDPI, vol. 6(12), pages 1-11, December.

    More about this item

    Keywords

    BDF; EBDF; Stability; Stiff ODEs;
    All these keywords.

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