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文章基本信息

  • 标题:Numerical solution of a stochastic population growth model in a closed system
  • 本地全文:下载
  • 作者:Morteza Khodabin ; Khosrow Maleknejad ; Mahnaz Asgari
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2013
  • 卷号:2013
  • 期号:1
  • 页码:130
  • DOI:10.1186/1687-1847-2013-130
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, we introduce a stochastic population model in a closed system. This model is a nonlinear stochastic integro-differential equation. At first, we solve this problem via the stochastic θ-method. Then we solve it by using the Bernstein polynomials and collocation method. This method reduces integro-differential equation to a system of nonlinear algebraic equations. The results demonstrate applicability and accuracy of this method.
  • 关键词:Brownian Motion ; Collocation Method ; Bernstein Polynomial ; Nonlinear Algebraic Equation ; Random Excitation
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