Name
Title | ||
|---|---|---|
High Order varepsilon-Uniform Methods for Singularly Perturbed Reaction-Diffusion Problems |
Abstract | ||
|---|---|---|
The central difference scheme for reaction-diffusion problems, when fitted Shishkin type meshes are used, gives uniformly convergent methods of almost second order. In this work, we construct HOC (High Order Compact) compact monotone finite difference schemes, defined on a priori Shishkin meshes, uniformly convergent with respect the diffusion parameter 驴, which have order three and four except for a logarithmic factor. We show some numerical experiments which support the theoretical results. |
Year | Venue | Keywords |
|---|---|---|
2000 | NAA | compact monotone finite difference,reaction-diffusion problem,central difference scheme,numerical experiment,convergent method,logarithmic factor,theoretical result,singularly perturbed reaction-diffusion problems,fitted shishkin type mesh,diffusion parameter,high order varepsilon-uniform methods,high order compact,reaction diffusion |
Field | DocType | ISBN |
Mathematical analysis,Finite difference,Uniform convergence,Singular perturbation,Finite difference method,Truncation error (numerical integration),Numerical analysis,Reaction–diffusion system,Monotone polygon,Mathematics | Conference | 3-540-41814-8 |
Citations | PageRank | References |
6 | 1.37 | 1 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| J. L. Gracia | 1 | 139 | 18.36 |
| Francisco J. Lisbona | 2 | 17 | 4.78 |
| C. Clavero | 3 | 114 | 22.46 |