Title :
The Approximation of a Crank-Nicolson Scheme for the Stochastic Age-structured Population System
Author :
Li, Feifei ; Zhang, Qimin
Author_Institution :
Sch. of Math. & Comput. Sci., NingXia Univ., Yinchuan, China
Abstract :
In this paper we prove the convergence of stochastic age-structured population system. A linearized version of the implicit Crank-Nicolson is considered for the approximation of the solution to the stochastic age-structured population system. The noise is a real standard Wiener process and approximated by using the generalized L2-projection operator. Optimal strong convergence error estimates in the L2 norm are obtained.
Keywords :
approximation theory; demography; stochastic processes; Crank-Nicolson scheme; Wiener process; error estimation; stochastic age structured population system; Approximation methods; Equations; Estimation; Mathematical model; Partial differential equations; Stability analysis; Stochastic processes; Crank-Nicolson scheme; Stochastic population system; error estimates;
Conference_Titel :
Intelligent Computation Technology and Automation (ICICTA), 2011 International Conference on
Conference_Location :
Shenzhen, Guangdong
Print_ISBN :
978-1-61284-289-9
DOI :
10.1109/ICICTA.2011.74
