Comparison of Two Numerical Approaches to Boussinesq Paradigm Equation

  • Milena Dimova
  • Daniela Vasileva
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8236)


In order to study the time behavior and structural stability of the solutions of Boussinesq Paradigm Equation, two different numerical approaches are designed. The first one (A1) is based on splitting the fourth order equation to a system of a hyperbolic and an elliptic equation. The corresponding implicit difference scheme is solved with an iterative solver. The second approach (A2) consists in devising of a finite difference factorization scheme. This scheme is split into a sequence of three simpler ones that lead to five-diagonal systems of linear algebraic equations. The schemes, corresponding to both approaches A1 and A2, have second order truncation error in space and time. The results obtained by both approaches are in good agreement with each other.


Numerical Approach Coarse Grid Boussinesq Equation Quadratic Nonlinearity Factorize Scheme 
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© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Milena Dimova
    • 1
  • Daniela Vasileva
    • 1
  1. 1.Institute of Mathematics and InformaticsBulgarian Acad. Sci.SofiaBulgaria

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