An algorithm for Adomian decomposition method

被引：51
|
作者：
Chen, WH [1 ]
Lu, ZY
机构：
[1] Wenzhou Normal Coll, Dept Math, Wenzhou 325003, Zhejiang, Peoples R China
[2] Acad Sinica, Inst Comp Applicat, Chengdu 610041, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2004年 / 159卷 / 01期
基金：
中国国家自然科学基金;
关键词：
adomian decomposition method; adomian polynomials; symbolic computation; differential equations;
D O I：
10.1016/j.amc.2003.10.037
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a reliable technique for calculating Adomian polynomials for nonlinear operators is developed. The algorithm is fulfilled with symbolic computation, so that the Adomian decomposition methods for solving differential equations can be mechanized in Maple. Ten examples are presented to illustrate the implementation of the program. (C) 2003 Elsevier Inc. All rights reserved.
引用
收藏
页码：221 / 235
页数：15
相关论文
共 50 条
  • [31] The Solution of a String Model by Adomian Decomposition Method
    Demir, Duygu Donmez
    Koca, Erhan
    [J]. PROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014), 2015, 1648
  • [32] Adomian Decomposition Method for Fractional Differential Equations
    Archalousova, Olga
    Smarda, Zdenek
    [J]. XXIX INTERNATIONAL COLLOQUIUM ON THE MANAGEMENT OF EDUCATIONAL PROCESS, PT 1, 2011, : 37 - 41
  • [33] Adomian's decomposition method for eigenvalue problems
    Kao, YM
    Jiang, TF
    [J]. PHYSICAL REVIEW E, 2005, 71 (03):
  • [34] On the characteristic Adomian decomposition method for the Riemann problem
    Dia Zeidan
    Chau, Chi Kin
    Lu, Tzon-Tzer
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (10) : 8097 - 8112
  • [35] Solving Heat Equation by the Adomian Decomposition Method
    Cheniguel, A.
    Ayadi, A.
    [J]. WORLD CONGRESS ON ENGINEERING, WCE 2011, VOL I, 2011, : 288 - 290
  • [36] Solution of the epidemic model by Adomian decomposition method
    Biazar, J
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2006, 173 (02) : 1101 - 1106
  • [37] Adomian Decomposition Method Using Integrating Factor
    Yinwei Lin
    Tzon-Tzer Lu
    Cha'o-Kuang Chen
    [J]. Communications in Theoretical Physics, 2013, 60 (08) : 159 - 164
  • [38] Analysis of resonant oscillators with the Adomian decomposition method
    Mahmood, Afrah Saad
    Casasus, Luis
    Al-Hayani, Waleed
    [J]. PHYSICS LETTERS A, 2006, 357 (4-5) : 306 - 313
  • [39] Parametrized Adomian Decomposition Method with Optimum Convergence
    Turkyilmazoglu, Mustafa
    [J]. ACM TRANSACTIONS ON MODELING AND COMPUTER SIMULATION, 2017, 27 (04):
  • [40] Solution of wave equation by Adomian decomposition method and the restrictions of the method
    Biazar, J
    Islam, R
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2004, 149 (03) : 807 - 814
12345