Asymptotic-Numerical Method for the Location and Dynamics of Internal Layers in Singular Perturbed Parabolic Problems

DOI10.1007/978-3-319-57099-0_83zbMath1368.65167OpenAlexW2606385495MaRDI QIDQ5275027

V. T. Volkov, Dmitry V. Lukyanenko, Nikolai N. Nefedov

Publication date: 7 July 2017

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-57099-0_83

zbMATH Keywords

algorithmasymptotic methodsinternal layersreaction-diffusion-advection equationmoving frontssingularly perturbed parabolic problems

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items (6)

Absolutely stable difference scheme for a general class of singular perturbation problems ⋮ Asymptotic solution of the inverse problem for restoring the modular type source in Burgers' equation with modular advection ⋮ Asymptotic solution of coefficient inverse problems for Burgers-type equations ⋮ Asymptotic analysis of solving an inverse boundary value problem for a nonlinear singularly perturbed time-periodic reaction-diffusion-advection equation ⋮ Analytical-numerical approach to describing time-periodic motion of fronts in singularly perturbed reaction-advection-diffusion models ⋮ Asymptotic stability of a stationary solution of a multidimensional reaction-diffusion equation with a discontinuous source

Cites Work

• Unnamed Item
• Asymptotic-numerical Investigation of Generation and Motion of Fronts in Phase Transition Models
• Asymptotic-Numerical Method for Moving Fronts in Two-Dimensional R-D-A Problems
• The generation and propagation of internal layers

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