An efficient numerical method for singularly perturbed time dependent parabolic 2D convection-diffusion systems

DOI10.1016/J.CAM.2018.10.033zbMath1419.65014OpenAlexW2899546839WikidataQ128970368 ScholiaQ128970368MaRDI QIDQ2423563

Carmelo Clavero, J. C. Jorge

Publication date: 20 June 2019

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.2018.10.033

zbMATH Keywords

uniform convergenceparabolic systemsShishkin meshesorder reductionsplitting by componentsfractional implicit Euler

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) 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) Initial value problems for second-order parabolic equations (35K15) Direct numerical methods for linear systems and matrix inversion (65F05) Fractional partial differential equations (35R11)

Related Items (7)

Stability and error analysis of a fully-discrete numerical method for system of 2D singularly perturbed parabolic PDEs ⋮ A numerical approach for a two-parameter singularly perturbed weakly-coupled system of 2-D elliptic convection-reaction-diffusion PDEs ⋮ Special issue: Selected papers of CMMSE ⋮ Numerical solution of 2D singularly perturbed reaction-diffusion system with multiple scales ⋮ A splitting uniformly convergent method for one-dimensional parabolic singularly perturbed convection-diffusion systems ⋮ A multi-splitting method to solve 2D parabolic reaction-diffusion singularly perturbed systems ⋮ A new upwind difference analysis of an exponentially graded Bakhvalov-type mesh for singularly perturbed elliptic convection-diffusion problems

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