Approximate Solutions of Fractional Nonlinear Equations Using Homotopy Perturbation Transformation Method

被引：2
|
作者：
Liu, Yanqin [1 ,2 ]
机构：
[1] Dezhou Univ, Dept Math, Dezhou 253023, Peoples R China
[2] Tianjin Univ, Nonlinear Dynam & Chaos Grp, Sch Management, Tianjin 30072, Peoples R China
来源：
ABSTRACT AND APPLIED ANALYSIS | 2012年
基金：
美国国家科学基金会; 中国博士后科学基金;
关键词：
DECOMPOSITION METHOD; DIFFUSION EQUATION; NUMERICAL-SOLUTION; ITERATIVE METHODS;
D O I：
10.1155/2012/752869
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A homotopy perturbation transformation method (HPTM) which is based on homotopy perturbation method and Laplace transform is first applied to solve the approximate solution of the fractional nonlinear equations. The nonlinear terms can be easily handled by the use of He's polynomials. Illustrative examples are included to demonstrate the high accuracy and fast convergence of this new algorithm.
引用
收藏
页数：14
相关论文
共 50 条
  • [31] Application of Homotopy Perturbation Method for Fractional Partial Differential Equations
    Elbeleze, Asma Ali
    Kilicman, Adem
    Taib, Bachok M.
    MALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES, 2014, 8 (02): : 265 - 287
  • [32] Homotopy perturbation transform method for nonlinear differential equations involving to fractional operator with exponential kernel
    Gomez-Aguilar, J. F.
    Yepez-Martinez, H.
    Torres-Jimenez, J.
    Cordova-Fraga, T.
    Escobar-Jimenez, R. F.
    Olivares-Peregrino, V. H.
    ADVANCES IN DIFFERENCE EQUATIONS, 2017,
  • [33] Homotopy perturbation transform method for nonlinear differential equations involving to fractional operator with exponential kernel
    JF Gómez-Aguilar
    H Yépez-Martínez
    J Torres-Jiménez
    T Córdova-Fraga
    RF Escobar-Jiménez
    VH Olivares-Peregrino
    Advances in Difference Equations, 2017
  • [34] HOMOTOPY PERTURBATION METHOD COMBINED WITH ZZ TRANSFORM TO SOLVE SOME NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS
    Riabi, Lakhdar
    Belghaba, Kacem
    Cherif, Mountassir Hamdi
    Ziane, Djelloul
    INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2019, 17 (03): : 406 - 419
  • [35] Analytical approximate solutions of systems of fractional algebraic-differential equations by homotopy analysis method
    Zurigat, Mohammad
    Momani, Shaher
    Alawneh, Ahmad
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (03) : 1227 - 1235
  • [36] Some iterative methods for solving nonlinear equations using homotopy perturbation method
    Noor, Muhammad Aslam
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2010, 87 (01) : 141 - 149
  • [37] Homotopy perturbation transform method for nonlinear equations using He's polynomials
    Khan, Yasir
    Wu, Qingbiao
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (08) : 1963 - 1967
  • [38] Homotopy Perturbation Method to Obtain Positive Solutions of Nonlinear Boundary Value Problems of Fractional Order
    Jafari, Hossein
    Bagherian, Khadijeh
    Moshokoa, Seithuti P.
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [39] Series solutions of a fractional oscillator by means of the homotopy perturbation method
    Yildirim, Ahmet
    Momani, Shaher
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2010, 87 (05) : 1072 - 1082
  • [40] Approximate Analytical Solutions for Fractional Space- and Time- Partial Differential Equations using Homotopy Analysis Method
    Kumar, Subir Das R.
    Gupta, P. K.
    Jafari, Hossein
    APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2010, 5 (02): : 544 - 562
12345