MIXED JACOBI-FOURIER SPECTRAL METHOD FOR FISHER EQUATION | Zendy

Yujian Jiao | Zendy; Tianjun Wang | Zendy; Xiandong Shi | Zendy; Wenjie Liu | Zendy

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MIXED JACOBI-FOURIER SPECTRAL METHOD FOR FISHER EQUATION

Author(s) -

Yujian Jiao,

Tianjun Wang,

Xiandong Shi,

Wenjie Liu

Publication year - 2018

Publication title -

mathematical modelling and analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.491

H-Index - 25

eISSN - 1648-3510

pISSN - 1392-6292

DOI - 10.3846/mma.2018.016

Subject(s) - mathematics , singularity , fourier transform , convergence (economics) , stability (learning theory) , spectral method , fourier analysis , fourier series , mathematical analysis , scheme (mathematics) , jacobi method , computer science , machine learning , economics , economic growth

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 dened in a disc. We use the generalized Jacobi approximation to simulate the singularity of solution at the regional center. This also simplies the theoretical analysis and provides a sparse system. The stability and convergence of the proposed scheme are proved. Numerical results demonstrate the eciency of this new algorithm and coincide well with the theoretical analysis.

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