RETRACTED: Numerical solutions for linear system of first-order fuzzy differential equations with fuzzy constant coefficients (Retracted Article)

被引:31
作者
Fard, Omid Solaymani [1 ]
Ghal-Eh, Nima [2 ]
机构
[1] Damghan Univ, Sch Math & Comp Sci, Damghan, Iran
[2] Damghan Univ, Sch Phys, Damghan, Iran
关键词
System of first-order linear FDEs; Variational iteration method; Approximate-analytical solution; HOMOTOPY PERTURBATION METHOD; EXISTENCE; EXTRACTION; SET;
D O I
10.1016/j.ins.2011.06.007
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, a novel iterative method is proposed to obtain approximate-analytical solutions for the linear systems of first-order fuzzy differential equations (FDEs) with fuzzy constant coefficients (FCCs) while avoiding the complexities of eigen-value computations. A theorem for the convergence and the validity of the approach is also presented in detail. Numerical experiments and comparisons with exact solutions reveal that the proposed method is capable of generating accurate results. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码:4765 / 4779
页数:15
相关论文
共 58 条
  • [1] Tuning of reachable set in one dimensional fuzzy differential inclusions
    Abbasbandy, S
    Nieto, JJ
    Alavi, M
    [J]. CHAOS SOLITONS & FRACTALS, 2005, 26 (05) : 1337 - 1341
  • [2] Abbasbandy S., 2002, Computational Methods in Applied Mathematics, V2, DOI 10.2478/cmam-2002-0006
  • [3] Numerical methods for fuzzy differential inclusions
    Abbasbandy, S
    Viranloo, TA
    López-Pouso, O
    Nieto, JJ
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2004, 48 (10-11) : 1633 - 1641
  • [4] Numerical solution of fuzzy differential equations by predictor-corrector method
    Allahviranloo, T.
    Ahmady, N.
    Ahmady, E.
    [J]. INFORMATION SCIENCES, 2007, 177 (07) : 1633 - 1647
  • [5] [Anonymous], 2009, WORLD APPL SCI J
  • [6] [Anonymous], J ADV RES DYN CONTRO
  • [7] [Anonymous], J UNCERTAIN SYST
  • [8] [Anonymous], INF SCI
  • [9] [Anonymous], J ADV RES SCI COMPUT
  • [10] [Anonymous], 2006, SIMULATING CONTINUOU