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Published in:
2012 | OriginalPaper | Chapter
Comparison of Some Finite Difference Schemes for Boussinesq Paradigm Equation
Authors : Milena Dimova, Natalia Kolkovska
Published in: Mathematical Modeling and Computational Science
Publisher: Springer Berlin Heidelberg
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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.