Trapezoidal method for solving fuzzy initial value problems

被引：0
|
作者：
Yang, Cheng-Fu [1 ]
机构：
[1] Hexi Univ, Dept Math, Zhangye 734000, Gansu, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | 2012年 / 14卷 / 05期
关键词：
Fuzzy differential equations; Fuzzy Cauchy problem; Euler method; Trapezoidal rule; Trapezoidal method; PREDICTOR-CORRECTOR METHOD; DIFFERENTIAL-EQUATIONS; NUMERICAL-SOLUTIONS;
D O I：
暂无
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper, the trapezoidal method is proposed to solve the "fuzzy initial value problem". The method is obtained by combining the Euler method and a trapezoidal rule calculating integration. Convergence of the proposed methods are also presented in detail. These methods are illustrated by solving some examples.
引用
收藏
页码：819 / 832
页数：14
相关论文
共 50 条
  • [1] A Proposed Analytical Method for Solving Fuzzy Linear Initial Value Problems
    Haydar, Amal Khalaf
    [J]. BAGHDAD SCIENCE JOURNAL, 2020, 17 (03) : 1091 - 1102
  • [2] A COMPARISON OF NONLINEAR TRAPEZOIDAL FORMULAS FOR SOLVING INITIAL-VALUE PROBLEMS
    EVANS, DJ
    SANUGI, BB
    [J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 1991, 41 (1-2) : 65 - 79
  • [3] Improved predictor-corrector method for solving fuzzy initial value problems
    Allahviranloo, T.
    Abbasbandy, S.
    Ahmady, N.
    Ahmady, E.
    [J]. INFORMATION SCIENCES, 2009, 179 (07) : 945 - 955
  • [4] MODIFIED K-STEP METHOD FOR SOLVING FUZZY INITIAL VALUE PROBLEMS
    Fard, O. Solaymani
    Kamyad, A. Vahidian
    [J]. IRANIAN JOURNAL OF FUZZY SYSTEMS, 2011, 8 (01): : 49 - 63
  • [5] DIFFERENTIAL TRANSFORMATION METHOD FOR SOLVING HIGH ORDER FUZZY INITIAL VALUE PROBLEMS
    Jameel, A. F.
    Anakira, N. R.
    Rashidi, M. M.
    Alomari, A. K.
    Saaban, A.
    Shakhatreh, M. A.
    [J]. ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2018, (39): : 194 - 208
  • [6] An Efficient Method for Solving Second-Order Fuzzy Order Fuzzy Initial Value Problems
    Dallashi, Qamar
    Syam, Muhammed I.
    [J]. SYMMETRY-BASEL, 2022, 14 (06):
  • [7] A new method for solving initial value problems
    Rahmanzadeh, Mostafa
    Cai, Long
    White, Ralph E.
    [J]. COMPUTERS & CHEMICAL ENGINEERING, 2013, 58 : 33 - 39
  • [8] NEW PREDICTOR CORRECTOR TRAPEZOIDAL FORMULAS FOR SOLVING INITIAL-VALUE PROBLEMS
    SANUGI, BB
    EVANS, DJ
    [J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 1990, 33 (1-2) : 77 - 94
  • [9] An efficient numerical method for solving m-polar fuzzy initial value problems
    Muhammad Akram
    Muhammad Saqib
    Shahida Bashir
    Tofigh Allahviranloo
    [J]. Computational and Applied Mathematics, 2022, 41
  • [10] An efficient numerical method for solving m-polar fuzzy initial value problems
    Akram, Muhammad
    Saqib, Muhammad
    Bashir, Shahida
    Allahviranloo, Tofigh
    [J]. COMPUTATIONAL & APPLIED MATHEMATICS, 2022, 41 (04):
12345