TY - JOUR T1 - A Fully Discrete Spectral Method for Fisher’s Equation on the Whole Line JO - East Asian Journal on Applied Mathematics VL - 4 SP - 400 EP - 415 PY - 2018 DA - 2018/02 SN - 6 DO - http://doi.org/10.4208/eajam.310315.120716a UR - https://global-sci.org/intro/article_detail/eajam/10808.html KW - Fisher’s equation, spectral method, generalised Hermite function, problem on the whole line. AB -

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.