| 具有扩散的自助模型的有限差分解(英) |
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| 引用本文： | 管秋琴,王元明.具有扩散的自助模型的有限差分解(英)[J].华东师范大学学报(自然科学版),2006,2006(5):34-42. |
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| 作者姓名： | 管秋琴 王元明 |
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| 作者单位： | 1. 华东师范大学,数学系,上海,200062;上海电力学院,数理系,上海,200090
2. 华东师范大学,数学系,上海,200062 |
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| 基金项目： | 国家自然科学基金
,
教育部留学回国人员科研启动基金
,
上海市重点学科建设项目
,
上海市教委资助项目 |
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| 摘 要： | 研究具有扩散的自助模型的有限差分解.首先建立一个单调迭代格式用于求解有限差分方程组;然后讨论非负解的存在唯一性,对不同的参数,证明方程组有四种不同类型的非负解,且这些非负解可以通过选择合适的初始迭代由迭代格式计算而得到;最后给出一些数值结果.
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| 关 键 词： | 自助模型 有限差分方程组 非负解 单调迭代 cooperative model finite difference system nonnegative solution monotone iteration |
| 文章编号： | 1000-5641（2006）05-0034-09 |
| 收稿时间： | 2005-03 |
| 修稿时间： | 2005-03 |
Finite Difference Solutions of a Cooperative Model with Diffusion(English) |
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| GUAN Qiu-qin,WANG Yuan-ming.Finite Difference Solutions of a Cooperative Model with Diffusion(English)[J].Journal of East China Normal University(Natural Science),2006,2006(5):34-42. |
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| Authors: | GUAN Qiu-qin WANG Yuan-ming |
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| Institution: | 1. Department of Mathematics, East China Normal University, Shanghai 200062, China; 2. Department of Mathematics and Physics, Shanghai University of Electric Power, Shanghai 200090, China |
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| Abstract: | This paper studied the finite difference solutions of a cooperative model with diffusion. A monotone iterative scheme was developed for solving the nonlinear finite difference system. The existence and uniqueness of a nonnegative solution was investigated. It was shown that the system may have four types of nonnegative solutions for different parameters, and each of these solutions could be computed by a suitable choice of initial iteration in the monotone iterative scheme. Some numerical results were given. |
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| Keywords: | cooperative model finite difference system nonnegative solution monotone iteration |
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