Comparison of Some Finite Difference Schemes for Boussinesq Paradigm Equation

  • Milena Dimova
  • Natalia Kolkovska
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7125)


The aim of the paper is to propose and study families of finite difference schemes for solving the Boussinesq Paradigm Equation. The nonlinear term of the equation is approximated in three different ways. We obtained a pair of implicit (with respect to the nonlinearity) families of schemes and an explicit one. All schemes have second rate of convergence in space and time. Numerical tests performed confirm our theoretical results regarding accuracy and convergence of all three schemes.


Boussinesq Paradigm Equation finite difference method conservative schemes solitons 


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© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Milena Dimova
    • 1
  • Natalia Kolkovska
    • 1
  1. 1.Institute of Mathematics and InformaticsBulgarian Academy of SciencesSofiaBulgaria

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