کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
767141 | 897149 | 2012 | 10 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Numerical analysis for stochastic age-dependent population equations with fractional Brownian motion Numerical analysis for stochastic age-dependent population equations with fractional Brownian motion](/preview/png/767141.png)
Stochastic age-dependent population equations, one of the important classes of hybrid systems are studied. In general most equations of stochastic age-dependent population do not have explicit solutions. Thus numerical approximation schemes are invaluable tools for exploring their properties. The main purpose of this paper is to develop a numerical scheme and show the convergence of the numerical approximation solution to the analytic solution. In the last section a numerical example is given.
► We give a class of stochastic age-dependent population system with fractional Brownian motion.
► We investigate the convergence of numerical approximation.
► Convergence theorems for the approximation of the solution by Euler scheme is proved.
► This article provides the effective method for calculating the stochastic population system.
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 17, Issue 4, April 2012, Pages 1884–1893