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DOI:
Journal of ShangHai University of Electric Power :2003,19(1):42-46
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一类带小参数反应-扩散型方程组的数值求解方法
(1.上海电力学院, 上海 200090;2.香港科技大学, 上海 200090)
Numerical Approach to Reaction-diffusion Equations with Small Parameter
(1.Shanghai University of Electric Power, Shanghai 200090, China;2.HongKong University of Science and Technology, HongKong, China)
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Received:February 26, 2002    
中文摘要: 在文献[1]的基础上, 通过引进网格等距度对反应 扩散型方程组进行了数值求解方法的讨论, 在网距度α≥2时, 证明了差分格式的一致收敛性, 其收敛阶为O(ht).
Abstract:This paper concerns the numerical approach to reaction-diffusion equations on the basis of [1].In order to ensure the precision of the numerical solution, we choose mesh {hi}such that there are several mesh points and Green's function the difference scheme is established.We prove if the feasible equidistant degree α≥2, the scheme convergence in norm with speed O(ht)uniformly
文章编号:20030109     中图分类号:    文献标志码:
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