NUMERICAL SOLUTION OF TIME-FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS USING SUMUDU DECOMPOSITION METHOD

被引：0
|
作者：
Al-Khaled, Kamel [1 ,2 ]
机构：
[1] Sultan Qaboos Univ, Dept Math & Stat, Sultanet, Oman
[2] Jordan Univ Sci & Technol, Dept Math & Stat, Irbid 22110, Jordan
来源：
ROMANIAN JOURNAL OF PHYSICS | 2015年 / 60卷 / 1-2期
关键词：
Fractional PDEs; Adomian polynomials; Sumudu transform; TRANSFORM;
D O I：
暂无
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, Sumudu decomposition method is developed to solve general form of fractional partial differential equation. The proposed method is based on the application of Sumudu transform to nonlinear fractional partial differential equations. The nonlinear term can easily be handled with the help of Adomian polynomials. The fractional derivatives are described in the Caputo sense. The Sumudu method is found to be fast and accurate. Illustrative examples are given to demonstrate the validity and applicability of the proposed technique.
引用
收藏
页码：99 / 110
页数：12
相关论文
共 50 条
  • [1] Solution of time-fractional equations via Sumudu-Adomian decomposition method
    Tarate, Shivaji Ashok
    Bhadane, Ashok P.
    Gaikwad, Shrikisan B.
    Kshirsagar, Kishor Ashok
    [J]. COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 2023, 11 (02): : 345 - 356
  • [2] Numerical Solutions of Time-Fractional Whitham-Broer-Kaup Equations via Sumudu Decomposition Method
    Ahmed, Shams A.
    Elbadri, Mohamed
    Hassan, Abdelgabar Adam
    Hdidi, Walid
    [J]. JOURNAL OF MATHEMATICS, 2023, 2023
  • [3] Numerical solution of time-fractional fourth-order partial differential equations
    Siddiqi, Shahid S.
    Arshed, Saima
    [J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2015, 92 (07) : 1496 - 1518
  • [4] Solving for the random component time-fractional partial differential equations with the new Sumudu transform iterative method
    Halil Anaç
    Mehmet Merdan
    Tülay Kesemen
    [J]. SN Applied Sciences, 2020, 2
  • [5] Solving for the random component time-fractional partial differential equations with the new Sumudu transform iterative method
    Anac, Halil
    Merdan, Mehmet
    Kesemen, Tulay
    [J]. SN APPLIED SCIENCES, 2020, 2 (06)
  • [6] Local fractional Sumudu decomposition method for linear partial differential equations with local fractional derivative
    Ziane, D.
    Baleanu, D.
    Belghaba, K.
    Cherif, M. Hamdi
    [J]. JOURNAL OF KING SAUD UNIVERSITY SCIENCE, 2019, 31 (01) : 83 - 88
  • [7] Numerical solutions to time-fractional stochastic partial differential equations
    Guang-an Zou
    [J]. Numerical Algorithms, 2019, 82 : 553 - 571
  • [8] Numerical Solution of Fractional Partial Differential Equations by Discrete Adomian Decomposition Method
    Dhaigude, D. B.
    Birajdar, Gunvant A.
    [J]. ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2014, 6 (01) : 107 - 119
  • [9] Numerical solutions to time-fractional stochastic partial differential equations
    Zou, Guang-an
    [J]. NUMERICAL ALGORITHMS, 2019, 82 (02) : 553 - 571
  • [10] Solving Nonlinear Time-Fractional Partial Differential Equations Using Conformable Fractional Reduced Differential Transform with Adomian Decomposition Method
    Teppawar, R. S.
    Ingle, R. N.
    Muneshwar, R. A.
    [J]. CONTEMPORARY MATHEMATICS, 2024, 5 (01):
12345