Name
Title | ||
|---|---|---|
Layer-adapted methods for quasilinear singularly perturbed delay differential problems. |
Abstract | ||
|---|---|---|
In this work we consider a class of initial value problems for quasilinear singularly perturbed first order delay differential equations. To solve this class of problems numerically we consider two finite difference schemes: the backward Euler scheme and a high order hybrid scheme which is a blend of the Trapezoidal scheme and the backward Euler scheme. We derive general convergence results for both the schemes, based on which a number of layer-adapted meshes can be constructed and analyzed. As consequences of these results we establish uniform convergence of the schemes on certain layer-adapted meshes. Numerical experiments confirm our theoretical findings. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1016/j.amc.2014.02.002 | Applied Mathematics and Computation |
Keywords | Field | DocType |
Singular perturbation,Delay differential problems,Hybrid scheme,Layer-adapted meshes,Uniformly convergent | Convergence (routing),Mathematical optimization,Polygon mesh,Mathematical analysis,Finite difference,Uniform convergence,Singular perturbation,Initial value problem,Delay differential equation,Backward Euler method,Mathematics | Journal |
Volume | ISSN | Citations |
233 | 0096-3003 | 2 |
PageRank | References | Authors |
0.40 | 8 | 1 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Sunil Kumar | 1 | 86 | 10.07 |