Name
Abstract | ||
|---|---|---|
In this paper systems with an arbitrary number of singularly perturbed parabolic reaction-diffusion equations are examined.
A numerical method is constructed for these systems which involves an appropriate layer-adapted piecewise-uniform mesh. The
numerical approximations generated from this method are shown to be uniformly convergent with respect to the singular perturbation
parameters. Numerical experiments supporting the theoretical results are given. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1007/s10444-008-9086-3 | Adv. Comput. Math. |
Keywords | Field | DocType |
Singularly perturbed parabolic reaction-diffusion equations,Layer-adapted piecewise-uniform mesh,Singular perturbation parameters,65M15,35K50,35K57 | Mathematical optimization,Mathematical analysis,Uniform convergence,Singular perturbation,Numerical analysis,Reaction–diffusion system,Numerical stability,Mathematics,Parabola,Method of matched asymptotic expansions | Journal |
Volume | Issue | ISSN |
32 | 1 | 1019-7168 |
Citations | PageRank | References |
7 | 0.81 | 3 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| J. L. Gracia | 1 | 139 | 18.36 |
| Francisco J. Lisbona | 2 | 17 | 4.78 |
| Eugene O'Riordan | 3 | 120 | 19.17 |