Front dynamics in an activator-inhibitor system of equations
A Melnikova, N Levashova, D Lukyanenko - Numerical Analysis and Its …, 2017 - Springer
A Melnikova, N Levashova, D Lukyanenko
Numerical Analysis and Its Applications: 6th International Conference, NAA …, 2017•SpringerWe 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.
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.
Abstract
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.
Springer
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