On a convection-diffusion problem with a weak layer

Applied Mathematics and Computation

Volumn 160, Issue 3, 2005, Pages 791-795

  Linß, Torsten ^a  

^a DRESDEN UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

Convection diffusion; Finite differences; Singular perturbation

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; BOUNDARY CONDITIONS; BOUNDARY LAYERS; DEGREES OF FREEDOM (MECHANICS); FINITE DIFFERENCE METHOD; FUNCTIONS; PERTURBATION TECHNIQUES;

CONVENTION-DIFFUSION EQUATIONS; SINGULAR PERTURBATION; UNIFORM MESH; WEAK LAYERS;

PROBLEM SOLVING;

EID: 9544235180     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2003.12.001     Document Type: Article

References (4)

1. V.B. Andreev, N.V. Kopteva, On the convergence, uniform with respect to a small parameter, of monotone three-point finite-difference approximations, Differen. Equal. 34 (7) (1998) 921-929.
2. T. Linß, Uniform pointwise convergence of finite difference schemes using grid equidistribution, Computing 66 (1) (2001) 27-39.
3. T. Linß, Solution decompositions for linear convection-diffusion problems, Z. Anal. Anwend. 21 (1) (2002) 209-214.
4. S. Natesan, N. Ramanujan, "Shooting method" for the solution of singularly perturbed two-point boundary-value problems having less severe boundary layer, Appl. Math. Comput. 133 (2002) 623-641.