论文信息 - Moving mesh method with local time step refinement for blow-up problems

Moving mesh method with local time step refinement for blow-up problems

Abstract In this paper, the dynamical moving mesh method is merged with the local time stepping technique and the new method is applied for blow-up problems. It has some benefit in approximating an accurate blow-up time by starting at any positive initial time ( t 0 > 0). Our numerical experiment shows that without applying the local time stepping method, wrong blow-up time will be obtained, if the equation integrates from t 0 > 0.

Soheil Salahshour | Ali Reza Soheili | S. Salahshour | A. Soheili

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