The Solutions of Partial Differential Equations with Variable Coefficient by Sumudu Transform Method

被引:15
|
作者
Bulut, Hasan [1 ]
Baskonus, H. Mehmet [2 ]
Tuluce, Seyma [1 ]
机构
[1] Firat Univ, Dept Math, TR-23119 Elazig, Turkey
[2] Univ Tunceli, Dept Comp Engn, TR-62100 Tunceli, Turkey
关键词
Sumudu Transform Method; Partial Differential equations with variable coefficient; INTEGRAL TRANSFORM;
D O I
10.1063/1.4765475
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we studied to obtain numerical solutions of partial differential equations with variable coefficient by Sumudu Transform Method (STM). We applied to three examples this method. Then, we ploted 2D and 3D graphics of these equations by means of programming language Mathematica. In order to solve these differential equations which is ordinary and partial, the integral transforms such as the Laplace, Hankel and Fourier were unusually used and therefore there are several works on literature and applications of them. But it has few been given by using STM. And thus, in recent years STM has been an important places in applied sciences such as especially engineering, physics, physical sciences. Moreover, it is important for solving ordinary and partial differential equations which is linear and nonlinear.
引用
收藏
页码:91 / 95
页数:5
相关论文
共 50 条
  • [1] Solutions of fractional differential equations by Sumudu transform and variational iteration method
    Goswami, Pranay
    Alqahtani, Rubayyi T.
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (04): : 1944 - 1951
  • [2] Approximate Solutions For Fractional Delay Differential Equations By Using Sumudu Transform Method
    Abd AL-Hussein, Wurood R.
    Al-Azzawi, Saad N.
    SECOND INTERNATIONAL CONFERENCE OF MATHEMATICS (SICME2019), 2019, 2096
  • [3] Sumudu Transform Method for Analytical Solutions of Fractional Type Ordinary Differential Equations
    Demiray, Seyma Tuluce
    Bulut, Hasan
    Belgacem, Fethi Bin Muhammad
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2015, 2015
  • [4] Fuzzy Sumudu transform for solving fuzzy partial differential equations
    Rahman, Norazrizal Aswad Abdul
    Ahmad, Muhammad Zaini
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (05): : 3226 - 3239
  • [5] COMPLEX FOURIER TRANSFORM TECHNIQUE IN VARIABLE COEFFICIENT PARTIAL DIFFERENTIAL EQUATIONS
    EHRENPREIS, L
    JOURNAL D ANALYSE MATHEMATIQUE, 1967, 19 : 75 - +
  • [6] 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
  • [7] 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
  • [8] On Sumudu Transform and System of Differential Equations
    Kilicman, Adem
    Eltayeb, Hassan
    Agarwal, Ravi P.
    ABSTRACT AND APPLIED ANALYSIS, 2010,
  • [9] Conformable Double Laplace-Sumudu Transform Decomposition Method for Fractional Partial Differential Equations
    Jia Honggang
    Zhao Yanmin
    COMPLEXITY, 2022, 2022
  • [10] Uniqueness of solutions for systems of separated variable coefficient partial differential equations
    Jodar, L
    Goberna, D
    APPLIED MATHEMATICS LETTERS, 1998, 11 (05) : 109 - 113