STABILITY AND ASYMPTOTIC-BEHAVIOR OF A NUMERICAL-SOLUTION CORRESPONDING TO A DIFFUSION-REACTION EQUATION SOLVED BY A FINITE-DIFFERENCE SCHEME (CRANK-NICOLSON)

被引：14

作者：

CHERRUAULT, Y ^{[1
]}

CHOUBANE, M ^{[1
]}

VALLETON, JM ^{[1
]}

VINCENT, JC ^{[1
]}

机构：

[1] UNIV ROUEN HAUTE NORMANDIE,CHIM MACROMOLEC LAB,CNRS,UA 500,F-76134 MT ST AIGNAN,FRANCE

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1990年 / 20卷 / 11期

关键词：

D O I：

10.1016/0898-1221(90)90217-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper some partial differential equations arising in biochemistry are studied from the numerical point of view. These nonlinear equations (based on diffusion-reaction processes) are solved by using a Crank-Nicolson technique and convergence is proved by using lower and upper solutions. Stability and asymptotic behavior are also examined. A numerical algorithm has been deduced and is presently used by chemists. © 1990.

引用

页码：37 / 46

页数：10

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