Solution of the Dirichlet problem for a singularly perturbed reaction-diffusion equation in a square on a Bakhvalov grid

DOI10.3103/S0278641909040013zbMath1201.65191OpenAlexW2063985259MaRDI QIDQ845535

T. Ya. Ershova

Publication date: 29 January 2010

Published in: Moscow University Computational Mathematics and Cybernetics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s0278641909040013

zbMATH Keywords

singular perturbationerror estimatesdifference methodlinear elliptic boundary value problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Finite difference methods for boundary value problems involving PDEs (65N06)

Cites Work

• Differentiability Properties of Solutions of the Equation $ - \varepsilon ^2 \Delta u + ru = f(x,y)$ in a Square
• A parameter robust numerical method for a two dimensional reaction-diffusion problem
• Uniform convergence with respect to a small parameter of a scheme with central difference on refining grids
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