Analysis of a non-linear difference scheme in reaction-diffusion |
| |
Authors: | Guo Ben Yu A. R. Mitchell |
| |
Affiliation: | (1) Department of Mathematics, Shanghai University of Science and Technology, Shanghai, China;(2) Department of Mathematical Sciences, University of Dundee, DD1 4HN Dundee, Scotland, UK |
| |
Abstract: | Summary A nonlinear partial difference equation resulting from discretising in space and time the parabolic reaction diffusion equation, which models the spruce budworm problem, is analysed and accuracy estimates obtained for solutions over afinite time range and ast. Although the analysis is restricted to the logistic model in one space dimension, the techniques and comparison principles developed in the paper should prove useful in assessing the merits of numerical solutions of other nonlinear parabolic difference equations.During the period of this research Professor Guo Ben Yu was supported by a Science and Engineering Research Council visiting fellowship |
| |
Keywords: | AMS(MOS): 65MO5 CR: G1.8 |
本文献已被 SpringerLink 等数据库收录! |
|