期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

二阶模糊线性微分方程边值问题的模糊近似解 被引量：2

Fuzzy Approximate Solution of Second Order Linear Differential Equations with Fuzzy Boundary Values
原文传递
导出
摘要 讨论了二阶模糊线性微分方程边值问题……的模糊近似解，即利用配置法将微分方程转化为函数线性方程组，针对其系数函数的符号的不同，通过计算函数线性方程组获得了原模糊微分方程的模糊近似解。 The fuzzy approximate solution of secondorder linear differential equations with fuzzy boundary values……was discussed, that is, the differential equation was converted to a function linear system by using the collocation approach, then the fuzzy solution was derived from solving the function linear system according to the sign of coefficient functions of the fuzzy differential equation.
作者 郭晓斌 巩增泰
机构地区 西北师范大学数学与信息科学学院
出处 《模糊系统与数学》 CSCD 北大核心 2013年第3期85-93,共9页 Fuzzy Systems and Mathematics
基金 国家自然科学基金资助项目(71061013) 西北师范大学青年科研能力提升计划项目(NWNU-LKQN-11-20)
关键词 模糊数 模糊线性微分方程 模糊近似解 Fuzzy Numbers Fuzzy Linear Differential Equations Fuzzy Approximate Solutions
分类号 O159 [理学—基础数学]
  • 相关文献

参考文献18

  • 1Abbasbandy S, Jararian A, Ezzati R. Conjugate gradient method for fuzzy symmetric positive definete system of linearequations[J]. Applied Mathematics and Computation,2005,171:1184-1191.
  • 2Asady B, Abbasbandy S, Alavi M. Fuzzy general linear systems[J]. Applied Mathematics and Computation,2005, 169:34-40.
  • 3Dehghan M, Hashemi B, Ghatee M. Computational methods for solving fully fuzzy linear systems [J]. Applied Mathematics and Computation, 2006,179 : 328- 343.
  • 4Dehahan M, Hashemi B. Solution of the fully fuzzy linear systems using the decomposition procedure[J]. Applied Mathematics and Computation, 2006,182 : 1568 - 1580.
  • 5Feng Y H. The solutions of linear fuzzy stochastic differential systems[J]. Fuzzy Sets and Systems,2003,140:541 554.
  • 6Feng Y H. Fuzzy stochastic differential systems[J]. Fuzzy Sets and Systems, 2000,115:351-363.
  • 7Boswell B, TaylarA S. An application of a fuzzy random variable to vulnerability modeling[J]. Fuzzy Sets and Systems, 1990,33 - 19- 28.
  • 8Zaden L A. The concept of linguistic variable and its application to approximate reasoning[J] Information Science, 1975,8:199-249.
  • 9Dudios D, Prade H. Operations on fuzzy numbers [J]. International Journal of Systems Science, 1978:613- 626.
  • 10巩增泰.模糊有界变差函数及其可导性[J].兰州大学学报（自然科学版）,2003,39(3):17-21. 被引量：8

二级参考文献12

  • 1吴从炘 马明.模糊分析学基础[M].北京:国防工业出版社,1991..
  • 2Puri M L, Ralesu D A. Differentials for fuzzy functions [J]. J Math Anal Appl, 1983,91 : 552-558.
  • 3Kaleva O. The Cauchy problem for fuzzy differential equations [J]. Fuzzy Sets and Systems, 1990,35: 389-396.
  • 4Kaleva O. Fuzzy differential equations[J]. Fuzzy Sets and Systems ,1987,24:301-317.
  • 5Kaleva O. The calculus of fuzzy valued functions[J].Appl Math Lett ,1990,3 :55-59.
  • 6Seikkala S. On the fuzzy initial value problem[J].Fuzzy Sets and Systems, 1987,24 : 319-330.
  • 7Gong Z T ,Wu C X. Bounded variation ,absolute continuity and absolute integrability for fuzzy-number-valued functions [J]. Fuzzy Sets and Systems, 2002,129:83-94.
  • 8Wu C X,Song S J, Lee E S. Approximate solutions,existence and uniqueness of the cauchy problem of fuzzy differential equations [J]. J Math Anal Appl,1996,202.629-644.
  • 9Wu C X,Wu C. The supremum and infimum of the set of fuzzy numbers and its applications[J]. J Math Anal Appl, 1997,210: 499-511.
  • 10吴从 马明.模糊分析学基础[M].北京：国防工业出版社,1991.56-72.

共引文献11

同被引文献3

引证文献2

二级引证文献2

模糊系统与数学
2013年 第3期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部