基于半隐式Euler法的带Poisson跳随机森林扩散系统数值解的收敛性  

Convergence of numerical solutions to stochastic forest expansion system with Poisson jump based on semi-implicit Euler method

作　　者：吕淑婷[1] 张启敏[2] 

机构地区：[1]北方民族大学数学与信息科学学院,宁夏银川750021 [2]宁夏大学数学与计算机学院,宁夏银川750021

出　　处：《兰州理工大学学报》2014年第5期150-155,共6页Journal of Lanzhou University of Technology

基　　金：国家自然科学基金(11401012);宁夏自然科学基金(NZ14109)

摘　　要：采用半隐式Euler方法讨论带Poisson跳的随机森林扩散系统数值解的收敛性,给出数值解,并证明当满足一些比线性增长条件和全局Lipschitz条件弱的条件时,半隐式欧拉方法得到的数值解将均方收敛于方程的解析解.Convergence of numerical solution to stochastic forest expansion system with Poisson jump was discussed by using semi-implicit Euler method,then the numerical solution was given out,and finally when some weaker conditions than linear growth conditions and global Lipschitz conditions are met,the numerical solution obtained with semi-implicit Euler method would converge to the analytical solution of the equation,in the manner of mean square.the example was given to verify the conclusions.

关 键 词：森林发展系统 POISSON跳 扩散 半隐式EULER方法 收敛性 

分 类 号：O175.12[理学—数学]