arrow
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

Export citation
  • 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.

  • AMS Subject Headings

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@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.

Torsten Linß. (1970). 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:
Copy to clipboard
The citation has been copied to your clipboard