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

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

Year:    2016

East Asian Journal on Applied Mathematics, Vol. 6 (2016), Iss. 4 : pp. 400–415

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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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/eajam.310315.120716a

East Asian Journal on Applied Mathematics, Vol. 6 (2016), Iss. 4 : pp. 400–415

Published online:    2016-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    16

Keywords:    Fisher’s equation spectral method generalised Hermite function problem on the whole line.