A System of Singularly Perturbed Semilinear Equations

DOI10.1007/978-3-642-00605-0_12zbMath1180.65090OpenAlexW81494743MaRDI QIDQ3653050

José Luis Gracia, Monique Madaune-Tort, Francisco Javier Lisbona, Eugene O'Riordan

Publication date: 18 December 2009

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-00605-0_12

zbMATH Keywords

convergencesingular perturbationnumerical examplessemilinear reaction-diffusion equationslayer-adapted piecewise-uniform mesh

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Singular perturbations for ordinary differential equations (34E15) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

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Cites Work

• A coupled system of singularly perturbed parabolic reaction-diffusion equations
• Accurate solution of a system of coupled singularly perturbed reaction-diffusion equations
• Layer-adapted meshes for a linear system of coupled singularly perturbed reaction-diffusion problems
• A System of Singularly Perturbed Semilinear Equations
• A uniformly convergent numerical method for a coupled system of two singularly perturbed linear reaction-diffusion problems