Comparison of Some Finite Difference Schemes for Boussinesq Paradigm Equation
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.
KeywordsBoussinesq Paradigm Equation finite difference method conservative schemes solitons
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- 4.Christov, C.I.: Gaussian elimination with pivoting for multidiagonal systems. Internal Report, University of Reading, 4 (1994)Google Scholar
- 9.Kolkovska, N., Dimova, M.: A New Conservative Finite Different Scheme for Boussinesq Paradigm Equation. In: AIP (submitted, 2011)Google Scholar
- 12.Samarsky, A.A., Nikolaev, E.: Numerical Methods for Grid Equations. Birkhäuser Verlag (1989) ISBN 3764322780Google Scholar