Journal of Applied Mathematics and Physics
Volume 2, Issue 11 (October 2014)
ISSN Print: 2327-4352 ISSN Online: 2327-4379
Google-based Impact Factor: 0.70 Citations
A Particle Method for the b-Equation ()
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ABSTRACT
In this paper, we apply the particle method to solve the numerical solution of a family of non-li-near Evolutionary Partial Differential Equations. It is called b-equation because of its bi-Hamiltonian structure. We introduce the particle method as an approximation of these equations in Lagrangian representation for simulating collisions between wave fronts. Several numerical examples will be set to illustrate the feasibility of the particle method.
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