Numerical solution of a stochastic population growth model in a closed system

Advances in Difference Equations

Morteza Khodabin¹  Mahnaz Asgari¹  Khosrow Maleknejad¹ 

[1] Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran

关键词: Brownian Motion;    Collocation Method;    Bernstein Polynomial;    Nonlinear Algebraic Equation;    Random Excitation;   

DOI  :  10.1186/1687-1847-2013-130

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY