The variational iteration method for solving n-th order fuzzy differential equations

被引:36
|
作者
Jafari, Hossein [1 ]
Saeidy, Mohammad [1 ]
Baleanu, Dumitru [2 ]
机构
[1] Univ Mazandaran, Dept Math & Comp Sci, Babol Sar, Iran
[2] Cankaya Univ, Dept Math & Comp Sci, TR-06530 Ankara, Turkey
来源
CENTRAL EUROPEAN JOURNAL OF PHYSICS | 2012年 / 10卷 / 01期
关键词
variational iteration method; fuzzy number; nth-order fuzzy linear differential equation; EXISTENCE; BURGERS;
D O I
10.2478/s11534-011-0083-7
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The variational iteration method (VIM) proposed by Ji-Huan He is a new analytical method for solving linear and nonlinear equations. In this paper, the variational iteration method has been applied in solving nth-order fuzzy linear differential equations with fuzzy initial conditions. This method is illustrated by solving several examples.
引用
收藏
页码:76 / 85
页数:10
相关论文
共 50 条
  • [1] Variational Iteration Method for Solving Hybrid Fuzzy Differential Equations
    Sepahvandzadeh, A.
    Ghazanfari, B.
    JOURNAL OF MATHEMATICAL EXTENSION, 2016, 10 (04) : 75 - 85
  • [2] Solving nonlinear fuzzy differential equations by using fuzzy variational iteration method
    T. Allahviranloo
    S. Abbasbandy
    Sh. S. Behzadi
    Soft Computing, 2014, 18 : 2191 - 2200
  • [3] Solving nonlinear fuzzy differential equations by using fuzzy variational iteration method
    Allahviranloo, T.
    Abbasbandy, S.
    Behzadi, Sh. S.
    SOFT COMPUTING, 2014, 18 (11) : 2191 - 2200
  • [4] Variational iteratiol method for solving n -th order fuzzy differential equatiol
    Abbasbandy, S.
    Allahviranloo, T.
    Darabi, P.
    Sedaghatfar, O.
    Mathematical and Computational Applications, 2011, 16 (04) : 819 - 829
  • [5] Solution of n-th order interval fuzzy differential IAL equations using the backstepping method
    Abbas, Muna S.
    Fadhel, Fadhel S.
    INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2021, 12 : 1965 - 1985
  • [6] Variational iteration method for solving uncertain differential equations
    Li, Wanping
    Zhang, Guidong
    Sheng, Yuhong
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2023, 44 (04) : 6453 - 6461
  • [7] Convergence of Variational Iteration Method for Solving Singular Partial Differential Equations of Fractional Order
    Elbeleze, Asma Ali
    Kilicman, Adem
    Taib, Bachok M.
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [8] Convergence of the variational iteration method for solving multi-order fractional differential equations
    Yang, Shuiping
    Xiao, Aiguo
    Su, Hong
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 60 (10) : 2871 - 2879
  • [9] A COMPARISON THEOREM FOR N-TH ORDER DIFFERENTIAL EQUATIONS
    KREITH, K
    MATHEMATISCHE ZEITSCHRIFT, 1970, 115 (05) : 357 - &
  • [10] A variational iteration method for solving parabolic partial differential equations
    Golbabai, A.
    Javidi, A.
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2007, 54 (7-8) : 987 - 992