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Numerical modelling of two-way propagation of non-linear dispersive waves

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  • Pelloni, Beatrice
  • Dougalis, Vassilios A.

Abstract

We describe and implement a fully discrete spectral method for the numerical solution of a class of non-linear, dispersive systems of Boussinesq type, modelling two-way propagation of long water waves of small amplitude in a channel. For three particular systems, we investigate properties of the numerically computed solutions; in particular we study the generation and interaction of approximate solitary waves.

Suggested Citation

  • Pelloni, Beatrice & Dougalis, Vassilios A., 2001. "Numerical modelling of two-way propagation of non-linear dispersive waves," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 55(4), pages 595-606.
    • Handle: RePEc:eee:matcom:v:55:y:2001:i:4:p:595-606
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    Cited by:

    1. Antonopoulos, D.C. & Dougalis, V.A., 2012. "Numerical solution of the ‘classical’ Boussinesq system," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 82(6), pages 984-1007.
    2. Poochinapan, Kanyuta & Wongsaijai, Ben, 2023. "High-performance computing of structure-preserving algorithm for the coupled BBM system formulated by weighted compact difference operators," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 205(C), pages 439-467.

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