Name
Abstract | ||
|---|---|---|
A singularly perturbed parabolic equation of convectiondiffusion type is examined. Initially the solution approximates a concentrated source. This causes an interior layer to form within the domain for all future times. Using a suitable transformation, a layer adapted mesh is constructed to track the movement of the centre of the interior layer. A parameter-uniform numerical method is then defined, by combining the backward Euler method and a simple upwinded finite difference operator with this layer-adapted mesh. Numerical results are presented to illustrate the theoretical error bounds established. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1016/j.cam.2017.03.003 | J. Computational Applied Mathematics |
Keywords | Field | DocType |
65L11,65L12 | Mathematical optimization,Finite difference,Mathematical analysis,Pulse (signal processing),Singular perturbation,Operator (computer programming),Numerical analysis,Backward Euler method,Mathematics,Parabola | Journal |
Volume | Issue | ISSN |
321 | C | 0377-0427 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| J. L. Gracia | 1 | 139 | 18.36 |
| Eugene O'Riordan | 2 | 120 | 19.17 |