TY - JOUR
T1 - Numerical Solution of the Reaction-Diffusion Equation
AU - Ben-Yu Guo
JO - Journal of Computational Mathematics
VL - 4
SP - 298
EP - 314
PY - 1985
DA - 1985/03
SN - 3
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9626.html
KW - 
AB - <p style="text-align: justify;">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.</p>