| 二阶模糊微分方程的数值解 |
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| 引用本文： | 张东凯,田贵辰,巩增泰,仇计清. 二阶模糊微分方程的数值解[J]. 河北科技大学学报, 2010, 31(2): 158-161 |
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| 作者姓名： | 张东凯 田贵辰 巩增泰 仇计清 |
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| 作者单位： | 石家庄学院数学与信息科学系,河北石家庄,050035;西北师范大学数学与信息科学学院,甘肃兰州,730070;河北科技大学理学院,河北石家庄,050018 |
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| 基金项目： | 国家自然科学基金,石家庄学院自然科学基金资助项目 |
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| 摘 要： | 研究了二阶模糊微分方程的数值解,给出并证明了二阶模糊微分方程的2个特征定理,利用特征定理二阶模糊微分方程可以转化为微分方程组,从而求得二阶模糊微分方程的解。
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| 关 键 词： | 模糊数 特征定理 模糊微分方程 |
| 收稿时间： | 2009-10-23 |
Numerical solutions to second-order fuzzy differential equations |
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| ZHANG Dong-kai,TIAN Gui-chen,GONG Zeng-tai and QIU Ji-qing. Numerical solutions to second-order fuzzy differential equations[J]. Journal of Hebei University of Science and Technology, 2010, 31(2): 158-161 |
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| Authors: | ZHANG Dong-kai TIAN Gui-chen GONG Zeng-tai QIU Ji-qing |
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| Affiliation: | 1. Department of Mathematics and Information Science, Shijiazhuang University, Shijiazhuang Hehei 050035, China; 2. College of Mathematics and Information Science, Northwest Normal University, Lanzhou Gansu 730070, China; 3. College of Sciences, Hebei University of Science and Technology, Shijiazhuang Hebei 050018, China) |
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| Abstract: | In this paper, we study numerical solutions to second-order fuzzy differential equations initial value problems. Two charac- terization theorems for second-order fuzzy differential equations are given and proved. Seeond-order fuzzy differential equations can be translated into ordinary differential equations by these characterization theorems, so as to obtain solutions to fuzzy differential equations. |
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| Keywords: | fuzzy number characterization theorem fuzzy differential equations |
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