Name
Abstract | ||
|---|---|---|
The complete flux scheme (CFS) [J. ten Thije Boonkkamp, M. Anthonissen, The finite volume-complete flux scheme for advection–diffusion–reaction equations, J. Sci. Comput. 46 (1) (2011) 47–70. http://dx.doi.org/10.1007/s10915-010-9388-8] is an extension of the widely used exponential difference scheme for advection–diffusion–reaction equations. In this paper, we provide a rigorous proof that the convergence order of this scheme is 2 for all grid Péclet numbers, whereas that of the exponential difference scheme reduces to 1 for high grid Péclet numbers in the presence of source terms. The performance of both schemes is compared in two case studies: a test problem and a physical model of a parallel-plate glow discharge. The results indicate that the usage of the CFS allows a considerable reduction of the number of grid points that is required to obtain the same accuracy. The MATLAB/Octave source code that has been used in these studies has been made available. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1016/j.cam.2013.03.011 | Journal of Computational and Applied Mathematics |
Keywords | Field | DocType |
Complete flux scheme,Exponential difference scheme,Error analysis,Plasma model | Convergence (routing),Octave,Exponential function,MATLAB,Mathematical analysis,Source code,Flux,Plasma,Grid,Mathematics | Journal |
Volume | ISSN | Citations |
250 | 0377-0427 | 1 |
PageRank | References | Authors |
0.41 | 1 | 5 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| L. Liu | 1 | 5 | 1.54 |
| J. van Dijk | 2 | 5 | 1.54 |
| J. H. Thije Boonkkamp | 3 | 23 | 7.77 |
| D. B. Mihailova | 4 | 1 | 0.41 |
| J. J. A. M. van der Mullen | 5 | 5 | 1.54 |