Name
Title | ||
|---|---|---|
A moving-mesh finite difference scheme that preserves scaling symmetry for a class of nonlinear diffusion problems. |
Abstract | ||
|---|---|---|
A moving-mesh finite difference scheme based on local conservation is presented for a class of scale-invariant second-order nonlinear diffusion problems with moving boundaries that (a) preserves the scaling properties and (b) is exact at the nodes for initial conditions sampled from similarity solutions. Details are presented for one-dimensional problems, the extension to multidimensions is described, and the exactness property is confirmed for two radially symmetric moving boundary problems, the porous medium equation and a simplistic glacier equation. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1016/j.cam.2018.02.040 | Journal of Computational and Applied Mathematics |
Keywords | Field | DocType |
Nonlinear diffusion,Moving-meshes,Similarity,Finite differences,Porous medium equation,Glacier equation | Superlinear convergence,Finite difference scheme,Mathematical analysis,Nonlinear diffusion,Porous medium,Moving boundary problems,Scaling,Approximate solution,Mathematics | Journal |
Volume | ISSN | Citations |
340 | 0377-0427 | 0 |
PageRank | References | Authors |
0.34 | 1 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| M. J. Baines | 1 | 19 | 33.80 |
| N. Sarahs | 2 | 0 | 0.34 |