An Iterative Method for Time-Fractional Swift-Hohenberg Equation

被引:19
|
作者
Li, Wenjin [1 ]
Pang, Yanni [2 ]
机构
[1] Jilin Univ Finance & Econ, Sch Appl Math, Changchun 130117, Jilin, Peoples R China
[2] Jilin Univ, Sch Math, Changchun 130012, Jilin, Peoples R China
关键词
HOMOTOPY ANALYSIS METHOD; PARTIAL-DIFFERENTIAL-EQUATIONS; APPROXIMATE SOLUTION; TRANSFORM METHOD;
D O I
10.1155/2018/2405432
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study a type of iterative method and apply it to time-fractional Swift-Hohenberg equation with initial value. Using this iterative method, we obtain the approximate analytic solutions with numerical figures to initial value problems, which indicates that such iterative method is effective and simple in constructing approximate solutions to Cauchy problems of time-fractional differential equations.
引用
收藏
页数:13
相关论文
共 50 条
  • [1] On solutions of nonlinear time-space fractional Swift-Hohenberg equation: A comparative study
    Khan, Najeeb Alam
    Riaz, Fatima
    Khan, Nadeem Alam
    AIN SHAMS ENGINEERING JOURNAL, 2014, 5 (01) : 285 - 291
  • [2] The Fractional Series Solutions for the Conformable Time-Fractional Swift-Hohenberg Equation through the Conformable Shehu Daftardar-Jafari Approach with Comparative Analysis
    Liaqat, Muhammad Imran
    Okyere, Eric
    JOURNAL OF MATHEMATICS, 2022, 2022
  • [3] Analysis of fractional Swift-Hohenberg equation using a novel computational technique
    Veeresha, Pundikala
    Prakasha, Doddabhadrappla Gowda
    Baleanu, Dumitru
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020, 43 (04) : 1970 - 1987
  • [4] A Novel Treatment of Fuzzy Fractional Swift-Hohenberg Equation for a Hybrid Transform within the Fractional Derivative Operator
    Rashid, Saima
    Ashraf, Rehana
    Bayones, Fatimah S.
    FRACTAL AND FRACTIONAL, 2021, 5 (04)
  • [5] On the solutions of fractional Swift Hohenberg equation with dispersion
    Vishal, K.
    Das, S.
    Ong, S. H.
    Ghosh, P.
    APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (11) : 5792 - 5801
  • [6] Application of homotopy analysis method for fractional Swift Hohenberg equation - Revisited
    Vishal, K.
    Kumar, S.
    Das, S.
    APPLIED MATHEMATICAL MODELLING, 2012, 36 (08) : 3630 - 3637
  • [7] High order unconditionally energy stable RKDG schemes for the Swift-Hohenberg equation
    Liu, Hailiang
    Yin, Peimeng
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2022, 407
  • [8] Variational iteration method for the time-fractional Fornberg-Whitham equation
    Sakar, Mehmet Giyas
    Erdogan, Fevzi
    Yildirim, Ahmet
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 63 (09) : 1382 - 1388
  • [9] Numerical Investigation of Fractional-Order Swift-Hohenberg Equations via a Novel Transform
    Nonlaopon, Kamsing
    Alsharif, Abdullah M.
    Zidan, Ahmed M.
    Khan, Adnan
    Hamed, Yasser S.
    Shah, Rasool
    SYMMETRY-BASEL, 2021, 13 (07):
  • [10] A rigorous upper bound on the propagation speed for the Swift-Hohenberg and related equations
    Collet, P
    Eckmann, JP
    JOURNAL OF STATISTICAL PHYSICS, 2002, 108 (5-6) : 1107 - 1124