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A Fully Discrete Spectral Method for Fisher’s Equation on the Whole Line

  • Yu-Jian Jiao (a1), Tian-Jun Wang (a2) and Qiong Zhang (a2)
Abstract
Abstract

A generalised Hermite spectral method for Fisher's equation in genetics with different asymptotic solution behaviour at infinities is proposed, involving a fully discrete scheme using a second order finite difference approximation in the time. The convergence and stability of the scheme are analysed, and some numerical results demonstrate its efficiency and substantiate our theoretical analysis.

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*Corresponding author. Email address: wangtianjun64@163.com (T.-J. Wang)
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East Asian Journal on Applied Mathematics
  • ISSN: 2079-7362
  • EISSN: 2079-7370
  • URL: /core/journals/east-asian-journal-on-applied-mathematics
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