Improved Predictor Corrector Method for solving fuzzy initial value problem

被引：0
|
作者：
Allahviranloo, T. [1 ]
Ahmady, N. [2 ]
Ahmady, E. [3 ]
机构：
[1] Islamic Azad Univ, Dept Math, Sci & Res Branch, Tehran, Iran
[2] Islamic Azad Univ, Dept Math, Varamin Pishva Branch, Tehran, Iran
[3] Islamic Azad Univ, Shahryar Shahr & Qods Branch, Tehran, Iran
来源：
MATHEMATICAL MODELS IN ENGINEERING, BIOLOGY AND MEDICINE | 2009年 / 1124卷
关键词：
Fuzzy Differential Equations; Fuzzy Cauchy Problem; Explicit method; Implicit method; Improved Predictor Corrector Method; BOUNDARY-VALUE-PROBLEMS; DIFFERENTIAL-EQUATIONS; CAUCHY-PROBLEM; INCLUSIONS; UNIQUENESS; EXISTENCE; SYSTEMS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper an Improved Predictor Corrector (IPC) method to solve the "fuzzy initial value problem" is proposed. The IPC method is obtained by combining an explicit three-step method and an implicit two-step method. These methods are compared with existed the methods, where the proposed methods proved to have more accuracy. The convergence and stability of the proposed methods are also presented in detail. In addition, these methods are illustrated by solving some examples.
引用
收藏
页码：13 / +
页数：2
相关论文
共 50 条
  • [41] THE PREDICTOR-CORRECTOR METHOD FOR SOLVING PROBLEMS OF GAS-DYNAMICS
    KARAMYSHEV, VB
    KOVENYA, VM
    USSR COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 1988, 28 (06): : 188 - 194
  • [42] A predictor-corrector smoothing newton method for solving the mixed complementarity problem with a P0-function
    Tang, Jia
    Ma, Changfeng
    Du, Zhe
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2010, 87 (11) : 2503 - 2519
  • [43] An Efficient Method for Solving Second-Order Fuzzy Order Fuzzy Initial Value Problems
    Dallashi, Qamar
    Syam, Muhammed I.
    SYMMETRY-BASEL, 2022, 14 (06):
  • [44] On the stability for the fuzzy initial value problem
    Ngo Van Hoa
    Allahviranloo, Tofigh
    Ho Vu
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2020, 39 (05) : 7747 - 7755
  • [45] MODIFIED K-STEP METHOD FOR SOLVING FUZZY INITIAL VALUE PROBLEMS
    Fard, O. Solaymani
    Kamyad, A. Vahidian
    IRANIAN JOURNAL OF FUZZY SYSTEMS, 2011, 8 (01): : 49 - 63
  • [46] Fuzzy fractional initial value problem
    Prakash, P.
    Nieto, J. J.
    Senthilvelavan, S.
    Priya, G. Sudha
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2015, 28 (06) : 2691 - 2704
  • [47] ON THE FUZZY INITIAL-VALUE PROBLEM
    SEIKKALA, S
    FUZZY SETS AND SYSTEMS, 1987, 24 (03) : 319 - 330
  • [48] 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.
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2018, (39): : 194 - 208
  • [49] Modified fractional Euler method for solving Fuzzy Fractional Initial Value Problem (vol 18, pg 12, 2013)
    Mazandarani, Mehran
    Kamyad, Ali Vahidian
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2015, 26 (1-3) : 276 - 277
  • [50] Solution method for fifth-order fuzzy initial value problem
    Muhammad Akram
    Muhammad Yousuf
    Muhammad Bilal
    Granular Computing, 2023, 8 (6) : 1229 - 1252
12345