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A Third Order Linearly Implicit Fractional Step Method for Semilinear Parabolic Problems

In: Numerical Mathematics and Advanced Applications

Author

Listed:
  • Blanca Bujanda

    (Universidad Pública de Navarra, Dpto. Matemática e Informática)

  • Juan Carlos Jorge

    (Universidad Pública de Navarra, Dpto. Matemática e Informática)

Abstract

In this paper a new efficient linearly implicit time integrator for semilinear multidimensional parabolic problems is proposed. This method preserves the advantages, in terms of computational cost reduction, of the classical fractional step methods for linear parabolic problems.We show some numerical tests for illustrating that this method combined with standard space discretization techniques, provides efficient numerical algorithms capable of computing stable numerical solutions without restrictions between the time step and the mesh size.

Suggested Citation

  • Blanca Bujanda & Juan Carlos Jorge, 2006. "A Third Order Linearly Implicit Fractional Step Method for Semilinear Parabolic Problems," Springer Books, in: Alfredo Bermúdez de Castro & Dolores Gómez & Peregrina Quintela & Pilar Salgado (ed.), Numerical Mathematics and Advanced Applications, pages 987-995, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-34288-5_98
    DOI: 10.1007/978-3-540-34288-5_98
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