摘要

In this paper, we propose a new relaxation method to study the pulsating traveling front for the one dimensional space and time periodic advection diffusion reaction equations. By introducing an additional parameter depending on time, the front position is confined around a fixed point, so that this method requires small computational domain. Moreover, the time evolution of this additional parameter gives the traveling velocity automatically, and the results of the original advection diffusion reaction equation can be recovered.

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