TY - JOUR
T1 - A Fully Discrete Spectral Method for Fisher’s Equation on the Whole Line
AU - Yu-Jian Jiao, Tian-Jun Wang & Qiong Zhang
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 - <p style="text-align: justify;">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.</p>