HE'S HOMOTOPY PERTURBATION METHOD FOR SOLVING TIME FRACTIONAL SWIFT-HOHENBERG EQUATIONS

被引:29
|
作者
Ban, Tao [1 ]
Cui, Run-Qing [1 ]
机构
[1] Henan Polytech Univ, Sch Math & Informat, Jiaozuo, Peoples R China
来源
THERMAL SCIENCE | 2018年 / 22卷 / 04期
关键词
time fractional Swift-Hohenberg equation; homotopy perturbation method; fractional complex transform; S-H EQUATION; DIFFERENTIAL-EQUATIONS; SPACE-TIME; FIELDS;
D O I
10.2298/TSCI1804601B
中图分类号
O414.1 [热力学];
学科分类号
摘要
This paper find the most effective method to solve the time fractional Swift-Hohenberg equation with cubic-quintic non-linearity by combining the homotopy perturbation method and the fractional complex transform. The solution reveals some intermittent properties of thermal physics.
引用
收藏
页码:1601 / 1605
页数:5
相关论文
共 50 条
  • [31] The amplitude equation for the space-fractional Swift-Hohenberg equation
    Kuehn, Christian
    Throm, Sebastian
    PHYSICA D-NONLINEAR PHENOMENA, 2025, 472
  • [32] Natural homotopy perturbation method for solving nonlinear fractional gas dynamics equations
    Jassim, Hassan Kamil
    Mohammed, Mayada Gassab
    INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2021, 12 (01): : 812 - 820
  • [33] Application of He's homotopy Perturbation Method for Solving Sivashinsky Equation
    Ghasemi, M.
    Davari, A.
    Fardi, M.
    INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2012, 3 (01): : 61 - 67
  • [34] He's homotopy perturbation method for solving the shock wave equation
    Berberler, Murat Ersen
    Yildirim, Ahmet
    APPLICABLE ANALYSIS, 2009, 88 (07) : 997 - 1004
  • [35] Amplitude modulation for the Swift-Hohenberg and Kuramoto-Sivashinski equations
    Kirkinis, Eleftherios
    O'Malley, Robert E., Jr.
    JOURNAL OF MATHEMATICAL PHYSICS, 2014, 55 (12)
  • [36] Homoclinic solutions for Swift-Hohenberg and suspension bridge type equations
    Smets, D
    van den Berg, JB
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2002, 184 (01) : 78 - 96
  • [37] Fourier spectral method for the modified Swift-Hohenberg equation
    Xiaopeng Zhao
    Bo Liu
    Peng Zhang
    Wenyu Zhang
    Fengnan Liu
    Advances in Difference Equations, 2013
  • [38] A direct meshless local collocation method for solving stochastic Cahn-Hilliard-Cook and stochastic Swift-Hohenberg equations
    Abbaszadeh, Mostafa
    Khodadadian, Amirreza
    Parvizi, Maryam
    Dehghan, Mehdi
    Heitzinger, Clemens
    ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2019, 98 : 253 - 264
  • [39] OPTIMAL DISTRIBUTED CONTROL PROBLEM FOR THE MODIFIED SWIFT-HOHENBERG EQUATIONS
    Sun, Bing
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2018,
  • [40] Fourier spectral method for the modified Swift-Hohenberg equation
    Zhao, Xiaopeng
    Liu, Bo
    Zhang, Peng
    Zhang, Wenyu
    Liu, Fengnan
    ADVANCES IN DIFFERENCE EQUATIONS, 2013,