NUMERICAL METHODS FOR FUZZY LINEAR PARTIAL DIFFERENTIAL EQUATIONS UNDER NEW DEFINITION FOR DERIVATIVE

被引：0

作者：

Allahviranloo, T. ^{[1
]}

Kermani, M. Afshar ^{[2
]}

机构：

[1] Islamic Azad Univ, Dept Math, Sci & Res Branch, Tehran, Iran

[2] Islamic Azad Univ, Dept Math, Nourth Tehran Branch, Tehran, Iran

来源：

IRANIAN JOURNAL OF FUZZY SYSTEMS | 2010年 / 7卷 / 03期

关键词：

Fuzzy partial differential equation; Difference method;

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 difference methods to solve "fuzzy partial differential equations" (FPM) such as fuzzy hyperbolic and fuzzy parabolic equations are considered. The existence of the solution and stability of the method are examined in detail. Finally examples are presented to show that the Hausdorff distance between the exact solution and approximate solution tends to zero.

引用

页码：33 / 50

页数：18

共 50 条

[1] Partial Differential Equations with Numerical Methods
Moricz, Ferenc
ACTA SCIENTIARUM MATHEMATICARUM, 2005, 71 (1-2): : 453 - 454
[2] Partial differential equations with numerical methods
Lord, Nick
MATHEMATICAL GAZETTE, 2005, 89 (514): : 182 - 182
[3] Linear fractional fuzzy differential equations with Caputo derivative
Abdollahi, Rahman
Moghimi, Mohamadbagher Farshbaf
Khastan, Alireza
Hooshmandasl, Mohammad Reza
COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 2019, 7 (02): : 252 - 265
[4] Convergence of corrected derivative methods for second-order linear partial differential equations
Black, T
Belytschko, T
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1999, 44 (02) : 177 - 203
[5] Convergence of corrected derivative methods for second-order linear partial differential equations
Northwestern Univ, Evanston, IL, United States
Int J Numer Methods Eng, 2 (177-203):
[6] Numerical methods for the multiplicative partial differential equations
Yazici, Muhammet
Selvitopi, Harun
OPEN MATHEMATICS, 2017, 15 : 1344 - 1350
[7] Numerical methods for fractional partial differential equations
Li, Changpin
Chen, An
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2018, 95 (6-7) : 1048 - 1099
[8] New numerical methods for the Riesz space fractional partial differential equations
Ding, Heng-fei
Zhang, Yu-xin
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 63 (07) : 1135 - 1146
[9] Convergence of numerical methods for fuzzy differential equations
Cheng, Yan
You, Cuilian
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2020, 38 (04) : 5257 - 5266
[10] Numerical methods for fuzzy system of linear equations
Allahviranloo, T
APPLIED MATHEMATICS AND COMPUTATION, 2004, 155 (02) : 493 - 502

← 1 2 3 4 5 →