Asymptotic-Numerical Method for Moving Fronts in Two-Dimensional R-D-A Problems

DOI10.1007/978-3-319-20239-6_46zbMath1359.65231OpenAlexW2294149290MaRDI QIDQ2942238

E. Antipov, V. T. Volkov, Nikolai N. Nefedov

Publication date: 20 August 2015

Published in: Finite Difference Methods,Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-20239-6_46

zbMATH Keywords

asymptotic methodsreaction-diffusion equationdifferential inequalitiesfrontsinternal layerssingularly perturbed parabolic problems

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

Related Items (2)

Solving of the coefficient inverse problem for a nonlinear singularly perturbed two-dimensional reaction-diffusion equation with the location of moving front data ⋮ Asymptotic-Numerical Method for the Location and Dynamics of Internal Layers in Singular Perturbed Parabolic Problems

Cites Work

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• Asymptotic-numerical Investigation of Generation and Motion of Fronts in Phase Transition Models
• Front motion in the parabolic reaction-diffusion problem
• The generation and propagation of internal layers
• On the formation of sharp transition layers in two-dimensional reaction-diffusion models

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