We propose an effective asymptotic-numerical approach to the problem of moving front type solutions in nonlinear reaction-diffusion-advection equations. The dimension of spatial variables for the location of a moving front is lower per unit then the original problem. This fact gives the possibility to save computing resources in numerical experiments and speed up the process of constructing approximate solutions with a suitable accuracy.
['Vladimir Volkov', 'Nikolay N. Nefedov']
Asymptotic-numerical Investigation of Generation and Motion of Fronts in Phase Transition Models