@Article{JCM-16-3,
author = {Lu, Bainian and Wan, Guohua and Guo, Bolin},
title = {The Global Dufort-Frankel Difference Approximation for Nonlinear Reaction-Diffusion Equations},
journal = {Journal of Computational Mathematics},
year = {1998},
volume = {16},
number = {3},
pages = {275--288},
abstract = {<p style="text-align: justify;">In this paper, the initial value problem of nonlinear reaction-diffusion equation is considered. The Dufort-Frankel finite difference approximation for the long time scheme is given for the $d$-dimensional reaction-diffusion equation with the two different cases. The global solution and global attractor are discussed for the Dufort-Frankel scheme. Moreover, properties of the solution are studied. The error estimate is presented in a finite time region and in the global time region for some special cases. Finally the numerical results for the equation are investigated for Allen-Cahn equation and some other equations and the homoclinic orbit is simulated numerically.</p>},
issn = {1991-7139},
doi = {https://doi.org/1998-JCM-9159},
url = {https://global-sci.com/article/85692/the-global-dufort-frankel-difference-approximation-for-nonlinear-reaction-diffusion-equations}
}