A singularly perturbed reaction-diffusion problem with inhomogeneous environment.

DOI10.1016/J.CAM.2003.09.019zbMath1049.35032OpenAlexW2046441918MaRDI QIDQ1428510

Li-Chin Yeh

Publication date: 29 March 2004

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2003.09.019

zbMATH Keywords

approximate interfacial solutionone- and two-dimensional space domains

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Asymptotic expansions of solutions to PDEs (35C20) Ecology (92D40)

Cites Work

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• Monotone iterative methods for finite difference system of reaction- diffusion equations
• Stable transition layers in a semilinear boundary value problem
• Motion by mean curvature as the singular limit of Ginzburg-Landau dynamics
• The Location and Stability of Interface Solutions of an Inhomogeneous Parabolic Problem
• Inhomogeneous fast reaction, slow diffusion and weighted curve shortening
• Fast Reaction, Slow Diffusion, and Curve Shortening
• Numerical Methods for Semilinear Parabolic Equations
• Two-stage, Two-level Finite Difference Schemes for Non-linear Parabolic Equations
• Metastable patterns in solutions of u_t = ϵ²u_xx − f(u)

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