The exact solutions of fuzzy wave-like equations with variable coefficients by a variational iteration method

被引:33
作者
Allahviranloo, T. [1 ]
Abbasbandy, S. [1 ,2 ]
Rouhparvar, H. [3 ]
机构
[1] Islamic Azad Univ, Dept Math, Sci & Res Branch, Tehran 14778, Iran
[2] Imam Khomeini Int Univ, Dept Math, Ghazvin 3414916818, Iran
[3] Islamic Azad Univ, Dept Math, Branch Saveh, Saveh 39187366, Iran
关键词
Fuzzy wave-like equations; Variational iteration method; PARTIAL-DIFFERENTIAL-EQUATIONS; HEAT-LIKE;
D O I
10.1016/j.asoc.2010.07.018
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In present paper, the same strategy as Buckley-Feuring by the variational iteration method are used for find exact fuzzy solution of the fuzzy wave-like equations in one and two dimensions. Several examples are given to show the Buckley-Feuring solution and the Seikkala solution. The results show that the variational iteration method, without linearization or small perturbation, is very effective and convenient. (C) 2010 Published by Elsevier B.V.
引用
收藏
页码:2186 / 2192
页数:7
相关论文
共 20 条
[1]   Variational iteration method for solving partial differential equations with variable coefficients [J].
Ali, A. H. A. ;
Raslan, K. R. .
CHAOS SOLITONS & FRACTALS, 2009, 40 (03) :1520-1529
[2]   ON USING ALPHA-CUTS TO EVALUATE FUZZY EQUATIONS [J].
BUCKLEY, JJ ;
QU, YX .
FUZZY SETS AND SYSTEMS, 1990, 38 (03) :309-312
[3]  
Buckley JJ, 2000, FUZZY SET SYST, V110, P43, DOI 10.1016/S0165-0114(98)00141-9
[4]   Introduction to fuzzy partial differential equations [J].
Buckley, JJ ;
Feuring, T .
FUZZY SETS AND SYSTEMS, 1999, 105 (02) :241-248
[5]  
Diamond P., 1994, METRIC SPACES FUZZY
[6]   ELEMENTARY FUZZY CALCULUS [J].
GOETSCHEL, R ;
VOXMAN, W .
FUZZY SETS AND SYSTEMS, 1986, 18 (01) :31-43
[7]  
He J.H., 1997, COMMUN NONLINEAR SCI, V2, P203
[8]  
He J.H., 1998, Mech. Appl, V20, P30
[9]   Variational iteration method - a kind of non-linear analytical technique: Some examples [J].
He, JH .
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 1999, 34 (04) :699-708
[10]   Approximate analytical solution for seepage flow with fractional derivatives in porous media [J].
He, JH .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1998, 167 (1-2) :57-68