Accurate and approximate analytic solutions of singularly perturbed differential equations with two-dimensional boundary layers

DOI10.1016/j.camwa.2007.10.027zbMath1142.65385OpenAlexW1981474615WikidataQ59416194 ScholiaQ59416194MaRDI QIDQ945162

Zi Cai Li, John J. H. Miller, Heng-Shuing Tsai, Songgui Wang

Publication date: 11 September 2008

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2007.10.027

zbMATH Keywords

convergence ratesboundary layercomputational modelssingularly perturbed equationapproximate analytic solutions

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items

A brief survey on numerical methods for solving singularly perturbed problems, Tailored finite point method based on exponential bases for convection-diffusion-reaction equation, Stability analysis for singularly perturbed differential equations by the upwind difference scheme

Cites Work

• Particular solutions of singularly perturbed partial differential equations with constant coefficients in rectangular domains. I: Convergence analysis.
• An analysis of a conforming exponentially fitted finite element method for a convection-diffusion problem
• A new non-conforming Petrov-Galerkin finite-element method with triangular elements for a singularly perturbed advection-diffusion problem
• A nonconforming combination of the finite element and volume methods with an anisotropic mesh refinement for a singularly perturbed convection-diffusion equation
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