Parameter-uniform fractional step hybrid numerical scheme for 2D singularly perturbed parabolic convection-diffusion problems

DOI10.1007/s12190-018-1203-yzbMath1422.65176OpenAlexW2884705303WikidataQ129500589 ScholiaQ129500589MaRDI QIDQ2318300

Srinivasan Natesan, Kaushik Mukherjee

Publication date: 14 August 2019

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-018-1203-y

zbMATH Keywords

numerical schemepiecewise-uniform Shishkin meshregular boundary layersingularly perturbed parabolic problemalternating directionsBakhvalov-Shishkin mesh uniform convergence

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) 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 (6)

Robust numerical method for space shift 2D singularly perturbed parabolic convection diffusion differential equations ⋮ A higher order hybrid-numerical approximation for a class of singularly perturbed two-dimensional convection-diffusion elliptic problem with non-smooth convection and source terms ⋮ A second order fractional step hybrid numerical algorithm for time delayed singularly perturbed 2D convection-diffusion problems ⋮ An almost second order parameter uniform scheme for 2D singularly perturbed boundary turning point problem ⋮ A parameter uniform higher order scheme for 2D singularly perturbed parabolic convection-diffusion problem with turning point ⋮ On \(\varepsilon \)-uniform higher order accuracy of new efficient numerical method and its extrapolation for singularly perturbed parabolic problems with boundary layer

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