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Modified Implicit–Explicit BDF Methods for Nonlinear Parabolic Equations

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Abstract

Implicit–explicit multistep methods for nonlinear parabolic equations were recently analyzed. If the implicit scheme is one of the backward differentiation formulae (BDF) of order up to six, then the corresponding implicit–explicit method of the same order is stable provided the stability constant is less than a specific scheme-dependent constant. Based on BDF, implicit methods are constructed such that the corresponding implicit–explicit scheme of the same order exhibits improved stability properties.

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Authors and Affiliations

  1. Computer Science Department, University of Ioannina, Ioannina, GR-451 10, Greece

    Georgios Akrivis

  2. Mathematics Department, University of Crete, Heraklion, Crete, GR-714 09, Greece

    Fotini Karakatsani

Authors
  1. Georgios Akrivis
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  2. Fotini Karakatsani
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Akrivis, G., Karakatsani, F. Modified Implicit–Explicit BDF Methods for Nonlinear Parabolic Equations. BIT Numerical Mathematics 43, 467–483 (2003). https://doi.org/10.1023/B:BITN.0000007057.13132.b3

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  • DOI: https://doi.org/10.1023/B:BITN.0000007057.13132.b3

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