A fractional step method for 2D parabolic convection-diffusion singularly perturbed problems: uniform convergence and order reduction

DOI10.1007/s11075-016-0221-9zbMath1375.65111OpenAlexW2533520316MaRDI QIDQ2407872

J. C. Jorge, Carmelo Clavero

Publication date: 6 October 2017

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

Full work available at URL: http://zaguan.unizar.es/record/63083

zbMATH Keywords

algorithmconsistencyuniform convergenceconvection-diffusion equationfinite difference schemeShishkin meshnumerical experimentorder reductionsingularly perturbed problemsfractional Euler methodpiecewise uniform meshes

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)

Related Items (5)

Robust numerical method for space shift 2D singularly perturbed parabolic convection diffusion differential equations ⋮ A second order fractional step hybrid numerical algorithm for time delayed singularly perturbed 2D convection-diffusion problems ⋮ Fast boundary-domain integral method for unsteady convection-diffusion equation with variable diffusivity using the modified Helmholtz fundamental solution ⋮ Parameter-uniform fractional step hybrid numerical scheme for 2D singularly perturbed parabolic convection-diffusion problems ⋮ A parameter uniform higher order scheme for 2D singularly perturbed parabolic convection-diffusion problem with turning point

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