A method of line with improved accuracy for singularly perturbed parabolic convection-diffusion problems with large temporal lag

DOI10.1016/j.rinam.2021.100174zbMath1500.65103OpenAlexW3191890838MaRDI QIDQ1979992

Gemechis File Duressa, Naol Tufa Negero

Publication date: 3 September 2021

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

Full work available at URL: https://doi.org/10.1016/j.rinam.2021.100174

zbMATH Keywords

time delayuniform convergencemethod of linesparabolic convection-diffusion problems

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Initial-boundary value problems for second-order parabolic equations (35K20) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) 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) Method of lines for boundary value problems involving PDEs (65N40) PDEs on time scales (35R07)

Related Items (8)

Parameter-uniform numerical scheme for singularly perturbed parabolic convection-diffusion Robin type problems with a boundary turning point ⋮ Fitted cubic spline scheme for two-parameter singularly perturbed time-delay parabolic problems ⋮ Accelerated parameter-uniform numerical method for singularly perturbed parabolic convection-diffusion problems with a large negative shift and integral boundary condition ⋮ A uniformly convergent defect correction method for parabolic singular perturbation problems with a large delay ⋮ A robust higher-order fitted mesh numerical method for solving singularly perturbed parabolic reaction-diffusion problems ⋮ Unnamed Item ⋮ 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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