| This paper is concerned with numerical method for a particular partialdi?erential equation of a model of Von Foerster type,Du(x,t) + μ(x,t,s(t)) ·u(x,t) = 0.J.Douglas obtains the numerical solution by means of Euler method whileT.koto by means of modified Euler method. In this paper, A forth orderaccurate R -K numerical method for the equation is built and a series ofproperties about this method are analyzed. At last, the numerical experimentis presented.This paper consists of four chapters:(1)In chapter one, single species population dynamics model of Von Fo-erster type is produced .(2)In chapter two, a forth order R -K numerical method for the modelequation is built.(3)In chapter three, the compatibility, the convergence and the stabilityanalysis for the numerical method for the equation is given.(4)At last ,the numerical experiment and Matlab program are given, andthe summary is made by comparing the R -K numerical method in thispaper with other methods. The order and the stability of the former areboth improved. |
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