\(\varepsilon\)-uniform error estimate of hybrid numerical scheme for singularly perturbed parabolic problems with interior layers

DOI10.1007/s11075-011-9449-6zbMath1227.65083OpenAlexW1991934805MaRDI QIDQ639352

Srinivasan Natesan, Kaushik Mukherjee

Publication date: 20 September 2011

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-011-9449-6

zbMATH Keywords

singular perturbationerror estimatesuniform convergencenumerical experimentsShishkin meshbackward-Euler methodhybrid finite difference schemeinterior layersparabolic convection-diffusion problemsdiscontinuous convection coefficients

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Initial-boundary value problems for second-order parabolic equations (35K20) 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) PDEs with low regular coefficients and/or low regular data (35R05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

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