Parameter-uniform error estimate for the implicit four-point scheme for a singularly perturbed heat equation with corner singularities

DOI10.1134/S0012266114070076zbMath1308.65153WikidataQ115251608 ScholiaQ115251608MaRDI QIDQ483740

U. Kh. Zhemukhov

Publication date: 17 December 2014

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

convergencenumerical exampleheat equationsingular perturbationerror estimatescorner singularityinitial boundary value problemimplicit difference scheme

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (4)

Numerical approximations to a singularly perturbed convection-diffusion problem with a discontinuous initial condition ⋮ Parameter-uniform approximations for a singularly perturbed convection-diffusion problem with a discontinuous initial condition ⋮ Parameter-uniform numerical methods for singularly perturbed parabolic problems with incompatible boundary-initial data ⋮ Singularly perturbed reaction-diffusion problems with discontinuities in the initial and/or the boundary data

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• Fitted Numerical Methods For Singular Perturbation Problems
• A Fitted Mesh Method for a Class of Singularly Perturbed Parabolic Problems with a Boundary Turning Point

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