Abstract
Recently reaction–diffusion approximation has been intensively studied. This paper reviews the studies in reaction–diffusion approximation and is based on Iida and Ninomiya (Sugaku 66:225–248, 2014) added recent studies to. This paper explains reaction–diffusion approximation of the Stefan problem, nonlinear diffusion, nonlocal dispersal and wave equations. Moreover, some instabilities of equations mentioned above will be explained by the Turing instability through reaction–diffusion approximations.
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