Name
Title | ||
|---|---|---|
A class of singularly perturbed quasilinear differential equations with interior layers |
Abstract | ||
|---|---|---|
A class of singularly perturbed quasilinear differential equations with discontinuous data is examined. In general, interior layers will appear in the solutions of problems from this class. A numerical method is constructed for this problem class, which involves an appropriate piecewise-uniform mesh. The method is shown to be a parameter-uniform numerical method with respect to the singular perturbation parameter. Numerical results are presented, which support the theoretical results. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1090/S0025-5718-08-02157-1 | MATHEMATICS OF COMPUTATION |
Keywords | Field | DocType |
Quasilinear,uniform convergence,layer adapted mesh,interior layer | Differential equation,Mathematical optimization,Mathematical analysis,Uniform convergence,Method of characteristics,Singular perturbation,Numerical analysis,Mathematics | Journal |
Volume | Issue | ISSN |
78 | 265 | 0025-5718 |
Citations | PageRank | References |
5 | 0.56 | 3 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Paul A. Farrell | 1 | 38 | 7.52 |
| Eugene O'Riordan | 2 | 120 | 19.17 |
| Grigorii I. Shishkin | 3 | 52 | 15.80 |