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
  • [31] Note on "Numerical solutions of fuzzy differential equations by predictor-corrector method"
    Bede, Barnabas
    INFORMATION SCIENCES, 2008, 178 (07) : 1917 - 1922
  • [32] Initial Value Problem Method for Diffeomorphism and Its Applications
    Niu, Xin
    Jiang, Zhenghua
    QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2018, 17 (01) : 81 - 90
  • [33] Approximate Solution for Fourth Order Linear Fuzzy Initial Value Problem
    Jameel, A. F.
    Ismail, A. I. Md.
    Ghoreishi, M.
    INTERNATIONAL CONFERENCE ON FUNDAMENTAL AND APPLIED SCIENCES 2012 (ICFAS2012), 2012, 1482 : 302 - 308
  • [34] A multi-step method to solve bipolar-fuzzy initial value problem
    Ahmady, E.
    Ahmady, N.
    Allahviranloo, T.
    Shahriari, M.
    COMPUTATIONAL & APPLIED MATHEMATICS, 2024, 43 (01)
  • [35] Numerical solution of bipolar fuzzy initial value problem
    Saqib, Muhammad
    Akram, Muhammad
    Bashir, Shahida
    Allahviranloo, Tofigh
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2021, 40 (01) : 1309 - 1341
  • [36] A high-order predictor-corrector method for initial value problems with fractional derivative involving Mittag-Leffler kernel
    Aljhani, Sami
    Noorani, Mohd Salmi Md
    Douaifia, Redouane
    Abdelmalek, Salem
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023,
  • [37] Solving the Dym initial value problem in reproducing kernel space
    Bakhtiari, P.
    Abbasbandy, S.
    Van Gorder, R. A.
    NUMERICAL ALGORITHMS, 2018, 78 (02) : 405 - 421
  • [38] Newton Method for Solving the Multi-Variable Fuzzy Optimization Problem
    Pirzada, U. M.
    Pathak, V. D.
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2013, 156 (03) : 867 - 881
  • [39] Numerical Solving of a Boundary Value Problem for Fuzzy Differential Equations
    Fatullayev, Afet Golayoglu
    Koroglu, Canan
    CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2012, 86 (01): : 39 - 52
  • [40] An innovative harmonic numbers operational matrix method for solving initial value problems
    Napoli, Anna
    Abd-Elhameed, W. M.
    CALCOLO, 2017, 54 (01) : 57 - 76
12345