]*>","")" /> 一类非线性反应扩散方程组的有限元分析

• 论文 •

### 一类非线性反应扩散方程组的有限元分析

1. 信息工程大学应用数学系!郑州,450002,北京应用物理与计算数学研究所!北京,100088
• 出版日期:2000-01-14 发布日期:2000-01-14

### FINITE ELEMENT ANALYSIS FOR SOME NONLINEAR REACTION - DIFFUSION SYSTEMS

1. Jiang Chengshun (Dept. of Appl. Math., Univ. of Information Engineering Zhengzhou, 450002) Cul Xia (Institute of Appl.. Phy. and Comp. Math., Beijing, 100088)
• Online:2000-01-14 Published:2000-01-14
This paper is concerned with the finite element scheme and the alternating direction finite element scheme for some nonlinear reaction - diffusion systems with the second or the third boundary value conditions. Not only the existence and uniqueness of solutions for these approximational schemes are obtained, but also the optimal H~(1) - norm and L~(2)- norm error estimate results are demonstrated.
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 [1] H. E. Kobus and W. Kinzelbach, Contaminant Transport in Groundwater, Balkema, Rotterdam Netherlands, 1989 [2] C. V. Pao, Asymptotic Behaviour of a Reaction - Diffusion System in Bacteriology, J.Math. Anal. Appl., 1985, 108: 1-14 [3] C. S. Jiang, M. X. Wang and C. H. Xie, Asymptotic Behaviour of Global Solutions for aChemical Reaction Model, J. Math. Anal. Appl., 1998, 220: 64O-656 [4] G. F. Webb, A Reaction - Diffusion Model for a Deterministic Diffusive Epidemic, J. Math.Anal. Appl., 1984, 84; 150-161 [5] R. A. Adams, Sobolev Space, 1975, Academic Press, New York [6] M. F. Wheeler, A Priori L~(2)-Error Estimates for Galerkin Approximations to ParabolicPartial Differential Equations, SIAM J. Numer. Anal., 1973, 10(4): 723-759 [7] J. E. Dendy, An Analysis of Some Galerkin Schemes for the solution of Nonlinear Time Dependent Problems, SIAM J. Numer. Anal. 1975, 12(4): [8] J. H. Linda, A Modified Backwad Time Discretization for Nonlinear Parabolic EquationsUsing Pacth Approximations, SUM J. Numer. Anal., 1981, 18(5): 781-793
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