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Volume 3, Issue 4
Numerical Solution of the Reaction-Diffusion Equation

Ben-Yu Guo

J. Comp. Math., 3 (1985), pp. 298-314.

Published online: 1985-03

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  • 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.

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@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} }
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 -

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.

Ben-Yu Guo. (1985). Numerical Solution of the Reaction-Diffusion Equation. Journal of Computational Mathematics. 3 (4). 298-314. doi:
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