Grid approximation of singularly perturbed parabolic equations with piecewise continuous initial-boundary conditions

DOI10.1134/S0081543807060156zbMath1237.65098MaRDI QIDQ764717

G. I. Shishkin

Publication date: 14 March 2012

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

convergenceDirichlet problemdifference schemesboundary layerinterior layermethod of additive splitting of singularities method of condensing gridsparabolic reaction-diffusion equationsingular porturisation

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) 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)

Related Items

О монотонных разностных схемах, Improved Difference Scheme for a Singularly Perturbed Parabolic Reaction-Diffusion Equation with Discontinuous Initial Condition, Grid Approximation of a Singularly Perturbed Parabolic Reaction-Diffusion Equation on a Ball, Singularly perturbed reaction-diffusion problems with discontinuities in the initial and/or the boundary data

Cites Work

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