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A Particle Method for the b-Equation

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DOI: 10.4236/jamp.2014.211111    2,249 Downloads   2,604 Views

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.

Cite this paper

Xing, Z. , Duan, Y. and Wu, H. (2014) A Particle Method for the b-Equation. Journal of Applied Mathematics and Physics, 2, 981-986. doi: 10.4236/jamp.2014.211111.

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