A parameter-uniform grid equidistribution method for singularly perturbed degenerate parabolic convection-diffusion problems

DOI10.1016/j.cam.2020.113273OpenAlexW3101210431MaRDI QIDQ2059588

Sunil Kumar, Sumit, Jesus Vigo Aguiar

Publication date: 14 December 2021

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

Full work available at URL: https://doi.org/10.1016/j.cam.2020.113273

zbMATH Keywords

singular perturbationupwind schemeequidistribution principleparameter-uniform convergencedegenerate parabolic problems

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) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Singular perturbations for ordinary differential equations (34E15)

Related Items (9)

Efficient High-Order Discretization Methods for Coupled Systems of Singularly Perturbed Parabolic Convection-Diffusion Problems ⋮ An efficient finite difference method for coupled systems of singularly perturbed parabolic convection-diffusion problems ⋮ A high order convergent numerical method for singularly perturbed time dependent problems using mesh equidistribution ⋮ Parameter-uniform numerical scheme for singularly perturbed parabolic convection-diffusion Robin type problems with a boundary turning point ⋮ A priori and a posteriori error analysis for a system of singularly perturbed Volterra integro-differential equations ⋮ Computational cost reduction for coupled system of multiple scale reaction diffusion problems with mixed type boundary conditions having boundary layers ⋮ Novel numerical scheme for singularly perturbed time delay convection-diffusion equation ⋮ Analysis of a nonlinear singularly perturbed Volterra integro-differential equation ⋮ A new upwind difference analysis of an exponentially graded Bakhvalov-type mesh for singularly perturbed elliptic convection-diffusion problems

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