Parameter-uniform hybrid numerical scheme for time-dependent convection-dominated initial-boundary-value problems

DOI10.1007/s00607-009-0030-2zbMath1185.65149OpenAlexW1965678115MaRDI QIDQ836945

Kaushik Mukherjee, Srinivasan Natesan

Publication date: 9 September 2009

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00607-009-0030-2

zbMATH Keywords

uniform convergencenumerical schemepiecewise-uniform Shishkin meshregular boundary layersingularly perturbed parabolic problem

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) 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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Cites Work

• Uniformly convergent difference schemes for singularly perturbed parabolic diffusion-convection problems without turning points
• A finite difference analysis of a streamline diffusion method on a Shishkin mesh
• A fractional step method on a special mesh for the resolution of multidimensional evolutionary convection-diffusion problems
• The midpoint upwind scheme
• A uniformly convergent scheme on a nonuniform mesh for convection-diffusion parabolic problems
• High-order numerical methods for one-dimensional parabolic singularly perturbed problems with regular layers
• Analysis of Some Difference Approximations for a Singular Perturbation Problem Without Turning Points
• -uniform schemes with high-order time-accuracy for parabolic singular perturbation problems
• Higher-order time accurate numerical methods for singularly perturbed parabolic partial differential equations
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