Communications in Mathematical Sciences
Volume 11 (2013)
A relaxation method for the pulsating traveling front simulations of the periodic advection diffusion reaction equations
Pages: 651 – 678
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.
space periodic advection diffusion reaction equation, time periodic advection diffusion reaction equation, traveling wave solution, pulsating traveling front, relaxation method
2010 Mathematics Subject Classification
35C07, 35K57, 65M06