New applications of Adomian decomposition method

被引:33
|
作者
El-Wakil, S. A. [1 ]
Abdou, M. A. [1 ]
机构
[1] Mansoura Univ, Fac Sci, Dept Phys, Theoret Res Grp, Mansoura, Egypt
关键词
D O I
10.1016/j.chaos.2005.12.037
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this article, we have discussed a new application of Adomian decomposition method on nonlinear physical equations. The models of interest in physics are considered and solved by means of Adomian decomposition method. The behaviour of Adomian solutions and the effects of different values of t are investigated. Numerical illustrations that include nonlinear physical models are investigated to show the pertinent features of the technique. (c) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码:513 / 522
页数:10
相关论文
共 50 条
  • [41] The Solution of a String Model by Adomian Decomposition Method
    Demir, Duygu Donmez
    Koca, Erhan
    PROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014), 2015, 1648
  • [42] Adomian's decomposition method for eigenvalue problems
    Kao, YM
    Jiang, TF
    PHYSICAL REVIEW E, 2005, 71 (03):
  • [43] Adomian Decomposition Method for Thermal Analysis of a Furnace
    Goyal, Kavita
    Singhal, Meenal
    ADVANCES IN ENGINEERING RESEARCH AND APPLICATION, 2019, 63 : 141 - 148
  • [44] Adomian Decomposition Method for Fractional Differential Equations
    Archalousova, Olga
    Smarda, Zdenek
    XXIX INTERNATIONAL COLLOQUIUM ON THE MANAGEMENT OF EDUCATIONAL PROCESS, PT 1, 2011, : 37 - 41
  • [45] On the characteristic Adomian decomposition method for the Riemann problem
    Dia Zeidan
    Chau, Chi Kin
    Lu, Tzon-Tzer
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (10) : 8097 - 8112
  • [46] Application of Adomian decomposition method to nonlinear oscillators
    Movasaghi, Nasim
    Kheiri, Hossein
    PROCEEDINGS OF THE 9TH WSEAS INTERNATIONAL CONFERENCE ON SIGNAL PROCESSING, COMPUTATIONAL GEOMETRY AND ARTIFICIAL VISION (ISCGAV'09), 2009, : 11 - +
  • [47] A new improved Adomian decomposition method and its application to fractional differential equations
    Song, Lina
    Wang, Weiguo
    APPLIED MATHEMATICAL MODELLING, 2013, 37 (03) : 1590 - 1598
  • [48] Solution of the epidemic model by Adomian decomposition method
    Biazar, J
    APPLIED MATHEMATICS AND COMPUTATION, 2006, 173 (02) : 1101 - 1106
  • [49] Adomian Decomposition Method Using Integrating Factor
    Yinwei Lin
    Tzon-Tzer Lu
    Cha'o-Kuang Chen
    Communications in Theoretical Physics, 2013, 60 (08) : 159 - 164
  • [50] Parametrized Adomian Decomposition Method with Optimum Convergence
    Turkyilmazoglu, Mustafa
    ACM TRANSACTIONS ON MODELING AND COMPUTER SIMULATION, 2017, 27 (04):