Fuzzy Sumudu transform for solving fuzzy partial differential equations

被引:16
|
作者
Rahman, Norazrizal Aswad Abdul [1 ]
Ahmad, Muhammad Zaini [1 ]
机构
[1] Univ Malaysia Perlis, Inst Engn Math, Pauh Putra Main Campus, Arau 02600, Perlis, Malaysia
来源
关键词
Fuzzy Sumudu transform; fuzzy partial derivative; fuzzy partial differential equation; NUMERICAL-SOLUTIONS;
D O I
10.22436/jnsa.009.05.111
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we propose a new method for solving fuzzy partial differential equation using fuzzy Sumudu transform. First, we provide fundamental results of fuzzy Sumudu transform for fuzzy partial derivatives and later use them to construct the solution of fuzzy partial differential equations. Finally, we demonstrate an example to show the capability of the proposed method and present the results graphically. (C) 2016 All rights reserved.
引用
收藏
页码:3226 / 3239
页数:14
相关论文
共 50 条
  • [1] Solving Partial Fuzzy Integro-Differential Equations Using Fuzzy Sumudu Transform Method
    Georgieva, Atanaska
    Spasova, Mira
    SEVENTH INTERNATIONAL CONFERENCE ON NEW TRENDS IN THE APPLICATIONS OF DIFFERENTIAL EQUATIONS IN SCIENCES (NTADES 2020), 2021, 2321
  • [2] Solving fuzzy fractional differential equations using fuzzy Sumudu transform
    Rahman, Norazrizal Aswad Abdul
    Ahmad, Muhammad Zaini
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (05): : 2620 - 2632
  • [3] Solution of Fuzzy Partial Differential Equations using Fuzzy Sumudu Transform
    Rahman, Norazrizal Aswad Abdul
    Ahmad, Muhammad Zaini
    INTERNATIONAL CONFERENCE ON MATHEMATICS, ENGINEERING AND INDUSTRIAL APPLICATIONS 2016 (ICOMEIA2016), 2016, 1775
  • [5] Solving Differential Equations with Z-Numbers by Utilizing Fuzzy Sumudu Transform
    Jafari, Raheleh
    Razvarz, Sina
    Gegov, Alexander
    INTELLIGENT SYSTEMS AND APPLICATIONS, INTELLISYS, VOL 2, 2019, 869 : 1125 - 1138
  • [6] Solution of Fuzzy Fractional Differential Equations using Fuzzy Sumudu Transform
    Rahman, Norazrizal Aswad Abdul
    Ahmad, Muhammad Zaini
    INTERNATIONAL CONFERENCE ON MATHEMATICS, ENGINEERING AND INDUSTRIAL APPLICATIONS 2016 (ICOMEIA2016), 2016, 1775
  • [7] Applications of the double fuzzy Sumudu transform for solving Volterra fuzzy integral equations
    Alidema, Artan
    Georgieva, Atanaska
    PROCEEDINGS OF THE 45TH INTERNATIONAL CONFERENCE ON APPLICATION OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE'19), 2019, 2172
  • [8] Sumudu transform for solving ordinary differential equation in a fuzzy environment
    Sahni, Manoj
    Parikh, Meghna
    Sahni, Ritu
    JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2021, 24 (06) : 1565 - 1577
  • [9] Solving fuzzy partial differential equations by fuzzy two-dimensional differential transform method
    Mikaeilvand, N.
    Khakrangin, S.
    NEURAL COMPUTING & APPLICATIONS, 2012, 21 : S307 - S312
  • [10] Solving fuzzy partial differential equations by fuzzy two-dimensional differential transform method
    N. Mikaeilvand
    S. Khakrangin
    Neural Computing and Applications, 2012, 21 : 307 - 312