Natesan, S and Singh, MK (2021) Robust computational method for singularly perturbed system of parabolic convection-diffusion problems with interior layers. In: Computational and Mathematical Methods, 3 (6).
Full text not available from this repository.Abstract
In this article, we present the convergence analysis of an upwind finite difference scheme for singularly perturbed system of parabolic convection-diffusion initial-boundary-value problems with discontinuous convection coefficient and source term. The proposed numerical scheme is constructed by using the implicit-Euler scheme for the time derivative on the uniform mesh, and the upwind finite difference scheme for the spatial derivatives on a layer-resolving piecewise-uniform Shishkin mesh. It is shown that the numerical solution obtained by the proposed scheme converges uniformly with respect to the perturbation parameter. The proposed numerical scheme is of almost first-order (up to a logarithmic factor) in space and first-order in time. Numerical examples are carried out to verify the theoretical results. © 2021 John Wiley & Sons Ltd.
| Item Type: | Journal Article |
|---|---|
| Publication: | Computational and Mathematical Methods |
| Publisher: | John Wiley and Sons Inc |
| Additional Information: | The copyright for this article belongs to John Wiley and Sons Inc |
| Department/Centre: | Division of Interdisciplinary Sciences > Computational and Data Sciences |
| Date Deposited: | 13 Feb 2022 08:45 |
| Last Modified: | 13 Feb 2022 08:45 |
| URI: | http://eprints.iisc.ac.in/id/eprint/71369 |
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