Finite element Galerkin method for the “good” Boussinesq equation
Nonlinear Analysis: Theory, Methods & Applications
On the numerical simulation of unsteady solutions for the 2D Boussinesq paradigm equation
NMA'10 Proceedings of the 7th international conference on Numerical methods and applications
Comparison of some finite difference schemes for boussinesq paradigm equation
MMCP'11 Proceedings of the 2011 international conference on Mathematical Modeling and Computational Science
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Conservative finite difference schemes for the numerical solution of multi-dimensional Boussinesq-type equations are constructed and studied theoretically. Depending on the way the nonlinear term f(u) is approximated, two families of finite difference schemes are developed. Error estimates for these numerical methods in the uniform metric and the Sobolev space W21 are obtained. The extensive numerical experiments given in [7] for the one-dimensional problem show good precision and full agreement between the theoretical results and practical evaluation for single soliton and the interaction between two solitons.