Name
Title | ||
|---|---|---|
An almost third order finite difference scheme for singularly perturbed reaction-diffusion systems |
Abstract | ||
|---|---|---|
This paper addresses the numerical approximation of solutions to coupled systems of singularly perturbed reaction-diffusion problems. In particular a hybrid finite difference scheme of HODIE type is constructed on a piecewise uniform Shishkin mesh. It is proved that the numerical scheme satisfies a discrete maximum principle and also that it is third order (except for a logarithmic factor) uniformly convergent, even for the case in which the diffusion parameter associated with each equation of the system has a different order of magnitude. Numerical examples supporting the theory are given. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1016/j.cam.2010.03.011 | Journal of Computational and Applied Mathematics |
Keywords | Field | DocType |
discrete maximum principle,logarithmic factor,different order,order finite difference scheme,piecewise uniform Shishkin mesh,hybrid finite difference scheme,numerical approximation,reaction-diffusion system,numerical scheme,HODIE type,numerical example,diffusion parameter | Mathematical optimization,Maximum principle,Finite difference scheme,Mathematical analysis,Third order,Uniform convergence,Logarithm,Order of magnitude,Reaction–diffusion system,Mathematics,Piecewise | Journal |
Volume | Issue | ISSN |
234 | 8 | 0377-0427 |
Citations | PageRank | References |
6 | 0.67 | 4 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| C. Clavero | 1 | 114 | 22.46 |
| J. L. Gracia | 2 | 139 | 18.36 |
| Francisco J. Lisbona | 3 | 40 | 5.45 |