Name
Title | ||
|---|---|---|
Positivity preserving finite volume scheme for the Nagumo-type equations on distorted meshes. |
Abstract | ||
|---|---|---|
In this paper we present a nonlinear positivity preserving finite volume scheme for the Nagumo-type equations with anisotropic tensor diffusion coefficient. For the diffusion term, we use the positivity preserving finite volume scheme. For the time direction, we use the backward Euler approximation. We deal with nonlinear reaction term implicitly and decompose nonlinear reaction coefficient into two nonnegative functions. Thus we get a system of nonlinear algebraic equations. The advantages of our scheme are that it can be applied to distorted meshes and has no severe constraint on the time step. The numerical results verify the theoretical result. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1016/j.amc.2018.04.058 | Applied Mathematics and Computation |
Keywords | Field | DocType |
Positivity,Finite volume,Nagumo equation,Distorted meshes | Anisotropy,Polygon mesh,Nonlinear system,Tensor,Mathematical analysis,Algebraic equation,Backward Euler method,Finite volume method,Mathematics | Journal |
Volume | ISSN | Citations |
336 | 0096-3003 | 1 |
PageRank | References | Authors |
0.39 | 11 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Huifang Zhou | 1 | 1 | 0.72 |
| Zhiqiang Sheng | 2 | 129 | 14.39 |
| Guangwei Yuan | 3 | 165 | 23.06 |