MIXED JACOBI-FOURIER SPECTRAL METHOD FOR FISHER EQUATION-Reference-Cited by-同舟云学术

MIXED JACOBI-FOURIER SPECTRAL METHOD FOR FISHER EQUATION

Published:2018-04-18 Issue:2 Volume:23 Page:240-261
ISSN:1392-6292
Container-title:Mathematical Modelling and Analysis
language:
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Author:

Jiao Yujian¹,Wang Tianjun²,Shi Xiandong¹,Liu Wenjie³

Affiliation:

1. Shanghai Normal University and Scientiﬁc Computing Key Laboratory of Shanghai

2. Henan University of Science and Technology

3. Harbin Institute of Technology

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.

Publisher

Vilnius Gediminas Technical University

Subject

Modelling and Simulation,Analysis

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