@Article{JCM-3-298, author = {Ben-Yu Guo}, title = {Numerical Solution of the Reaction-Diffusion Equation}, journal = {Journal of Computational Mathematics}, year = {1985}, volume = {3}, number = {4}, pages = {298--314}, abstract = {

In this paper, we consider the numerical solution for the reaction-diffusion equation. A finite difference scheme and the basic error equality are given. Then the error estimations are proved for the periodic problem with $v(x,t)\geq 0$, the first and second boundary value problems with $v(x,t)\geq v_0>0$, and for $v(U)\geq v_0›0$. Under some conditions such estimations imply the stabilities and convergences of the schemes.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9626.html} }