Name
Abstract | ||
|---|---|---|
In this paper, we propose a mixed Jacobi-Fourier spectral method for solving the Fisher equation in a disc. Some mixed Jacobi-Fourier approximation results are established, which play important roles in numerical simulation of various problems defined in a disc. We use the generalized Jacobi approximation to simulate the singularity of solution at the regional center. This also simplifies the theoretical analysis and provides a sparse system. The stability and convergence of the proposed scheme are proved. Numerical results demonstrate the efficiency of this new algorithm and coincide well with the theoretical analysis. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.3846/mma.2018.016 | MATHEMATICAL MODELLING AND ANALYSIS |
Keywords | DocType | Volume |
Fisher equation in a disc,mixed Jacobi-Fourier approximation,spectral method,problem with end-point weak singularity,nonlinear problem | Journal | 23 |
Issue | ISSN | Citations |
2 | 1392-6292 | 1 |
PageRank | References | Authors |
0.37 | 6 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yujian Jiao | 1 | 8 | 1.26 |
| Tianjun Wang | 2 | 1 | 0.37 |
| Xiandong Shi | 3 | 1 | 0.37 |
| wenjie liu | 4 | 8 | 3.56 |