A modified algorithm for the Adomian decomposition method with applications to Lotka-Volterra systems

被引:11
|
作者
Ruan, Jing
Lu, Zhengyi [1 ]
机构
[1] Wenzhou Univ, Dept Math, Wenzhou 325003, Peoples R China
[2] Wenzhou Vocat & Technol Coll, Dept Math, Wenzhou 325003, Peoples R China
基金
中国国家自然科学基金;
关键词
Adomian decomposition; Lotka-Volterra systems; long term behavior;
D O I
10.1016/j.mcm.2006.12.038
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
In this paper, the Adomian decomposition method is modified in order to obtain the approximate solutions of the nonlinear differential equation response in a sequence of time intervals. The modified method may provide a solution close to the exact one within a certain error E. The validity of the modified technique is verified through illustrative examples. (C) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1214 / 1224
页数:11
相关论文
共 50 条
  • [1] Numerical Solutions of Lotka-Volterra Prey-Predator Systems with the Modified Adomian Decomposition Method
    Ruan, Jing
    PROCEEDINGS OF THE 6TH CONFERENCE OF BIOMATHEMATICS, VOLS I AND II: ADVANCES ON BIOMATHEMATICS, 2008, : 273 - 276
  • [2] A Modified Algorithm for Approximate Solutions of Lotka-Volterra systems
    Ruan, Jing
    Tan, Yanhua
    Zhang, Changsheng
    CEIS 2011, 2011, 15
  • [3] STABILITY OF LOTKA-VOLTERRA SYSTEMS
    TULJAPURKAR, SD
    SEMURA, JS
    NATURE, 1975, 257 (5525) : 388 - 389
  • [4] Integrable Lotka-Volterra systems
    O. I. Bogoyavlenskij
    Regular and Chaotic Dynamics, 2008, 13 : 543 - 556
  • [5] Integrable Lotka-Volterra systems
    Bogoyavlenskij, O. I.
    REGULAR & CHAOTIC DYNAMICS, 2008, 13 (06): : 543 - 556
  • [6] STABILITY OF LOTKA-VOLTERRA SYSTEMS
    TULJAPURKAR, SD
    NATURE, 1976, 264 (5584) : 381 - 381
  • [7] THE LOTKA-VOLTERRA EQUATIONS AND THE QR ALGORITHM
    NAGAI, A
    SATSUMA, J
    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1995, 64 (10) : 3669 - 3674
  • [8] Global observer for Lotka-Volterra systems
    Badri, Vahid
    SYSTEMS & CONTROL LETTERS, 2022, 167
  • [9] Lotka-Volterra systems with stochastic resetting
    Mercado-Vasquez, Gabriel
    Boyer, Denis
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2018, 51 (40)
  • [10] On impulsive Lotka-Volterra systems with diffusion
    Struk O.O.
    Tkachenko V.I.
    Ukrainian Mathematical Journal, 2002, 54 (4) : 629 - 646