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Robustness of an Upwind Finite Difference Scheme for Semilinear Convection-Diffusion Problems with Boundary Turning Points
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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.
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:
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