A linearised singularly perturbed convection-diffusion problem with an interior layer

DOI10.1016/j.apnum.2015.08.002zbMath1329.65184OpenAlexW1510629130MaRDI QIDQ892704

Eugene O'Riordan, Jason Quinn

Publication date: 11 November 2015

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2015.08.002

zbMATH Keywords

parabolicinterior layersingularly perturbedconvection diffusion

Mathematics Subject Classification ID

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 (8)

Absolutely stable difference scheme for a general class of singular perturbation problems ⋮ An almost second order hybrid scheme for the numerical solution of singularly perturbed parabolic turning point problem with interior layer ⋮ Uniformly convergent new hybrid numerical method for singularly perturbed parabolic problems with interior layers ⋮ Numerical approximation of 2D time dependent singularly perturbed convection-diffusion problems with attractive or repulsive turning points ⋮ An almost second-order robust computational technique for singularly perturbed parabolic turning point problem with an interior layer ⋮ A Fitted Numerical Method for Interior-Layer Parabolic Convection–Diffusion Problems ⋮ Numerical Experiments with a Linear Convection–Diffusion Problem Containing a Time-Varying Interior Layer ⋮ An adaptive difference scheme for parabolic delay differential equation with discontinuous coefficients and interior layers

Cites Work

• Singularly perturbed parabolic problems with non-smooth data.
• Existence and asymptotic stability of periodic solutions with an interior layer of reaction-advection-diffusion equations
• A singularly perturbed convection diffusion turning point problem with an interior layer
• Nonlinear Singular Perturbation Problems and One Sided Difference Schemes
• Boundary-interior layer interactions in nonlinear singular perturbation theory
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