TY - JOUR
T1 - Numerical solution of a convection diffusion problem with Robin boundary conditions
AU - Ansari, Ali R.
AU - Hegarty, Alan F.
PY - 2003/7/1
Y1 - 2003/7/1
N2 - We consider a one-dimensional steady-state convection dominated convection-diffusion problem with Robin boundary conditions. We show, both theoretically and with numerical experiments, that numerical solutions obtained using an upwind finite difference scheme on Shishkin meshes are uniformly convergent with respect to the diffusion coefficient.
AB - We consider a one-dimensional steady-state convection dominated convection-diffusion problem with Robin boundary conditions. We show, both theoretically and with numerical experiments, that numerical solutions obtained using an upwind finite difference scheme on Shishkin meshes are uniformly convergent with respect to the diffusion coefficient.
KW - Parameter robust
KW - Piecewise-uniform mesh
KW - Singularly perturbed differential equation
UR - http://www.scopus.com/inward/record.url?scp=0037532891&partnerID=8YFLogxK
U2 - 10.1016/S0377-0427(02)00913-5
DO - 10.1016/S0377-0427(02)00913-5
M3 - Article
AN - SCOPUS:0037532891
SN - 0377-0427
VL - 156
SP - 221
EP - 238
JO - Journal of Computational and Applied Mathematics
JF - Journal of Computational and Applied Mathematics
IS - 1
ER -