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Article Dans Une Revue Journal of Applied Nonlinear Dynamics Année : 2018

An adaptive multiresolution scheme with second order local time-stepping for reaction-diffusion equations

Résumé

For adaptive multiresolution schemes we propose a local time stepping scheme based on natural extensions of Runge-Kutta methods. We consider reaction-diffusion equations in two space dimensions and assess the precision and efficiency of the new method. The obtained results are compared with those using classical finite volume schemes on a uniform grid and multiresolution schemes with global time stepping. It is shown that both CPU time and precision of the adaptive solutions are improved.
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Dates et versions

hal-02088677 , version 1 (03-04-2019)

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Muller Moreira Lopes, Margarete Domingues, Odim Mendes, Kai Schneider. An adaptive multiresolution scheme with second order local time-stepping for reaction-diffusion equations. Journal of Applied Nonlinear Dynamics, 2018, 7 (3), pp.287-295. ⟨10.5890/JAND.2018.09.006⟩. ⟨hal-02088677⟩
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