Abstract
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.
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Dimova, M., Kolkovska, N. (2012). Comparison of Some Finite Difference Schemes for Boussinesq Paradigm Equation. In: Adam, G., Buša, J., Hnatič, M. (eds) Mathematical Modeling and Computational Science. MMCP 2011. Lecture Notes in Computer Science, vol 7125. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28212-6_23
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DOI: https://doi.org/10.1007/978-3-642-28212-6_23
Publisher Name: Springer, Berlin, Heidelberg
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