• A particle method for the b-equation   [CET 2014]
  • Author(s)
  • Zhi-Qiang Xing
  • In this paper, we apply the particle method to solve the numerical solution of a family of non-linear Evolutionary Partial Differential Equation- s. It is called b-equation because of its bi-Hamiltonian structure. We introduce the particle method as an ap- proximation of these equations in Lagrangian represen- tation for simulating collisions between wavefronts. Sev- eral numerical examples will be set to illustrate the fea- sibility of the particle method.
  • particle method, b-equation
  • References

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