Title
Front Dynamics in an Activator-Inhibitor System of Equations.
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.
Year
DOI
Venue
2016
10.1007/978-3-319-57099-0_55
Lecture Notes in Computer Science
Field
DocType
Volume
Boundary value problem,Saddle point,System of linear equations,Transition point,Mathematical analysis,A priori and a posteriori,Asymptotic analysis,Mathematics,Numerical stability
Conference
10187
ISSN
Citations 
PageRank 
0302-9743
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Alina Melnikova100.34
Natalia Levashova201.35
Dmitry Lukyanenko302.70