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Volume 21, Issue 4
Robustness of an Upwind Finite Difference Scheme for Semilinear Convection-Diffusion Problems with Boundary Turning Points

Torsten Linß

J. Comp. Math., 21 (2003), pp. 401-410.

Published online: 2003-08

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  • Abstract

We consider a singularly perturbed semilinear convection-diffusion problem with a boundary layer of attractive turning-point type. It is shown that its solution can be decomposed into a regular solution component and a layer component. This decomposition is used to analyse the convergence of an upwind finite difference scheme on Shishkin meshes.

  • Keywords

Convection-diffusion, Singular perturbation, Solution decomposition, Shishkin mesh.

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COPYRIGHT: © Global Science Press

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@Article{JCM-21-401, author = {Linß , Torsten}, title = {Robustness of an Upwind Finite Difference Scheme for Semilinear Convection-Diffusion Problems with Boundary Turning Points}, journal = {Journal of Computational Mathematics}, year = {2003}, volume = {21}, number = {4}, pages = {401--410}, abstract = {

We consider a singularly perturbed semilinear convection-diffusion problem with a boundary layer of attractive turning-point type. It is shown that its solution can be decomposed into a regular solution component and a layer component. This decomposition is used to analyse the convergence of an upwind finite difference scheme on Shishkin meshes.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8882.html} }
TY - JOUR T1 - Robustness of an Upwind Finite Difference Scheme for Semilinear Convection-Diffusion Problems with Boundary Turning Points AU - Linß , Torsten JO - Journal of Computational Mathematics VL - 4 SP - 401 EP - 410 PY - 2003 DA - 2003/08 SN - 21 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8882.html KW - Convection-diffusion, Singular perturbation, Solution decomposition, Shishkin mesh. AB -

We consider a singularly perturbed semilinear convection-diffusion problem with a boundary layer of attractive turning-point type. It is shown that its solution can be decomposed into a regular solution component and a layer component. This decomposition is used to analyse the convergence of an upwind finite difference scheme on Shishkin meshes.

Linß , Torsten. (2003). Robustness of an Upwind Finite Difference Scheme for Semilinear Convection-Diffusion Problems with Boundary Turning Points. Journal of Computational Mathematics. 21 (4). 401-410. doi:
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