Mixed Jacobi-Fourier spectral method for Fisher equation
| Autor: | Xiandong Shi, Yujian Jiao, Tian-jun Wang, Wenjie Liu |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Fisher equation in a disc
Computer simulation Fisher equation problem with end-point weak singularity spectral method 010103 numerical & computational mathematics Center (group theory) mixed Jacobi-Fourier approximation 01 natural sciences Stability (probability) 010101 applied mathematics symbols.namesake Singularity Fourier transform Modeling and Simulation Convergence (routing) QA1-939 symbols Applied mathematics nonlinear problem 0101 mathematics Spectral method Mathematics Analysis |
| Zdroj: | Mathematical Modelling and Analysis; Vol 23 No 2 (2018); 240-261 Mathematical Modelling and Analysis, Vol 23, Iss 2 (2018) |
| ISSN: | 1392-6292 1648-3510 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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