An efficient numerical approach for singularly perturbed parabolic convection-diffusion problems with large time-lag

DOI10.22124/jmm.2021.19608.1682zbMath1524.65381OpenAlexW3195678029MaRDI QIDQ6097231

Naol Tufa Negero, Gemechis File Duressa

Publication date: 12 June 2023

Full work available at URL: https://jmm.guilan.ac.ir/article_4940_d6482a0ef79bda82af870dcfb28fa91f.pdf

zbMATH Keywords

singular perturbationparameter uniform convergenceexponentially fitted methodlarge time delayparabolic convection-diffusion

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Diffusion (76R50) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite difference methods for boundary value problems involving PDEs (65N06) Second-order parabolic equations (35K10) PDEs with measure (35R06)

Related Items (8)

Parameter-uniform numerical scheme for singularly perturbed parabolic convection-diffusion Robin type problems with a boundary turning point ⋮ 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 ⋮ Accelerated parameter-uniform numerical method for singularly perturbed parabolic convection-diffusion problems with a large negative shift and integral boundary condition ⋮ A higher order compact numerical approach for singularly perturbed parabolic problem with retarded term ⋮ A uniformly convergent defect correction method for parabolic singular perturbation problems with a large delay ⋮ Uniformly convergent finite difference methods for singularly perturbed parabolic partial differential equations with mixed shifts ⋮ Unnamed Item ⋮ A uniformly convergent numerical scheme for two parameters singularly perturbed parabolic convection-diffusion problems with a large temporal lag

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