@Article{JCM-21-4, author = {Torsten, Linß}, 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/2003-JCM-8882}, url = {https://global-sci.com/article/85333/robustness-of-an-upwind-finite-difference-scheme-for-semilinear-convection-diffusion-problems-with-boundary-turning-points} }