Milne method for solving uncertain differential equations

被引：69

作者：

Gao, Rong ^{[1
]}

机构：

[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2016年 / 274卷

基金：

中国国家自然科学基金;

关键词：

Uncertain differential equation; Milne method; Uncertainty theory; STABILITY;

D O I：

10.1016/j.amc.2015.11.043

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Uncertain differential equation is a type of differential equation driven by Liu process and has been widely applied to many fields especially to uncertain finance. Unfortunately, the analytic solutions of uncertain differential equations cannot always be obtained. So far, some numerical methods have been investigated. This paper designs a new numerical algorithm for solving uncertain differential equations via Milne method. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：774 / 785

页数：12

共 23 条

[11]

Liu B., 2010, J UNCERTAIN SYST, V3, P243

[12]

Liu B., 2015, Uncertainty Theory

[13]

Liu B., 2013, J UNCERTAINTY ANAL A, V1, P1, DOI [DOI 10.4236/MSCE.2013.16002, 10.1186/2195-5468-1-1, DOI 10.1186/2195-5468-1-1]

[14] Uncertainty distribution and independence of uncertain processes [J].

Liu, Baoding .

FUZZY OPTIMIZATION AND DECISION MAKING, 2014, 13 (03) :259-271

[15]

Liu Y., 2012, J UNCERTAIN SYST, V6, P243, DOI DOI 10.1007/S11166-012-9141-9

[16] A sufficient and necessary condition of uncertainty distribution [J].

Peng, Zixiong ;

Iwamura, Kakuzo .

JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2010, 13 (03) :277-285

[17] Stability in p-th moment for uncertain differential equation [J].

Shenga, Yuhong ;

Wang, Chongguo .

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2014, 26 (03) :1263-1271

[18]

Yang X., RUNGE KUTTA METHOD S

[19]

Yao K., 2013, Journal of Uncertainty Analysis and Applications, V1

[20] Stability in mean for uncertain differential equation [J].

Yao, Kai ;

Ke, Hua ;

Sheng, Yuhong .

FUZZY OPTIMIZATION AND DECISION MAKING, 2015, 14 (03) :365-379

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