Solving fuzzy partial differential equations by fuzzy two-dimensional differential transform method

被引:33
作者
Mikaeilvand, N. [1 ]
Khakrangin, S. [1 ]
机构
[1] Islamic Azad Univ, Ardabil Branch, Dept Math, Ardebil, Iran
关键词
Fuzzy differential transform method; Fuzzy partial differential equation; Taylor series;
D O I
10.1007/s00521-012-0901-x
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In this paper, a two-dimensional differential transform method to solve fuzzy partial differential equations (FPDEs) is proposed. The fuzzy two-dimensional differential transform method of fixed grid size is used to find approximate solutions of FPDEs. An adaptive grid size mechanism based on the fixed grid size technique is also proposed. The proposed algorithm is illustrated by numerical examples.
引用
收藏
页码:S307 / S312
页数:6
相关论文
共 14 条
[1]   Numerical study of the solution of the Burgers and coupled Burgers equations by a differential transformation method [J].
Abazari, Reza ;
Borhanifar, A. .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (08) :2711-2722
[2]   Solving fuzzy differential equations by differential transformation method [J].
Allahviranloo, T. ;
Kiani, N. A. ;
Motamedi, N. .
INFORMATION SCIENCES, 2009, 179 (07) :956-966
[3]  
Allahviranloo T, SOLVING FUZZY VOLTER
[4]   Solution of boundary value problems for integro-differential equations by using differential transform method [J].
Arikoglu, A ;
Ozkol, I .
APPLIED MATHEMATICS AND COMPUTATION, 2005, 168 (02) :1145-1158
[5]   Exact solutions for non-linear Schrodinger equations by differential transformation method [J].
Borhanifar, A. ;
Abazari, Reza .
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2011, 35 (1-2) :37-51
[6]   Numerical study of nonlinear Schrodinger and coupled Schrodinger equations by differential transformation method [J].
Borhanifar, A. ;
Abazari, Reza .
OPTICS COMMUNICATIONS, 2010, 283 (10) :2026-2031
[7]   On new solutions of fuzzy differential equations [J].
Chalco-Cano, Y. ;
Roman-Flores, H. .
CHAOS SOLITONS & FRACTALS, 2008, 38 (01) :112-119
[8]  
Chen CK, 1999, APPL MATH COMPUT, V106, P171, DOI 10.1016/S0096-3003(98)10115-7
[9]   A method for the numerical solution of the integro-differential equations [J].
Darania, P. ;
Ebadian, Ali .
APPLIED MATHEMATICS AND COMPUTATION, 2007, 188 (01) :657-668
[10]   On solving the initial-value problems using the differential transformation method [J].
Jang, MJ ;
Chen, CL ;
Liy, YC .
APPLIED MATHEMATICS AND COMPUTATION, 2000, 115 (2-3) :145-160