Numerical Solution of the Reaction-Diffusion Equation

Numerical Solution of the Reaction-Diffusion Equation

Year:    1985

Journal of Computational Mathematics, Vol. 3 (1985), Iss. 4 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1985-JCM-9626

Journal of Computational Mathematics, Vol. 3 (1985), Iss. 4 : pp. 298–314

Published online:    1985-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    17

Keywords: