Singularly perturbed reaction–diffusion equations in a circle with numerical applications

DOI10.1080/00207160.2013.772987zbMath1284.65168OpenAlexW2061119964MaRDI QIDQ2874311

Chang-Yeol Jung, Youngjoon Hong, Jacques Laminie

Publication date: 29 January 2014

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2013.772987

zbMATH Keywords

convergenceDirichlet problemssingular perturbationsfinite element methodsasymptotic expansionsasymptotic analysisboundary layerreaction-diffusion equationsquasi-uniform meshes

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items

Semi‐analytic time differencing methods for singularly perturbed initial value problems, On the numerical approximations of stiff convection-diffusion equations in a circle, Validation of a 2D cell-centered finite volume method for elliptic equations, A Cartesian grid based tailored finite point method for reaction-diffusion equation on complex domains, Enriched finite volume approximations of the plane-parallel flow at a small viscosity, Semi-analytic shooting methods for Burgers' equation, Numerical approximation of the singularly perturbed heat equation in a circle, Singular perturbation analysis of time dependent convection-diffusion equations in a circle, Recent progresses in boundary layer theory

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