Front Dynamics in an Activator-Inhibitor System of Equations
We consider the construction of formal asymptotic approximation for solution of the singularly perturbed boundary value problem of an activator-inhibitor type with a solution in a form of moving front. Corresponding asymptotic analysis provides a priori information about the localization of the transition point for moving front that is further used for constructing of dynamic adapted mesh. This mesh significantly improves numerical stability of numerical calculations for the considered system.
KeywordsSaddle Point Transition Layer Asymptotic Approximation Uniform Mesh Regular Part
This study was supported by grants of the Russian Foundation for Basic Research projects No. 16-01-00437, 15-01-04619 and 16-01-00755.
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