一类分数阶方程的数值解法

A Numerical Solution of Fractional Equations

文章用有限差分法对Fisher分数阶微分方程进行近似和求解,对所建立的差分格式进行了合理的收敛性和稳定性分析,最后通过数值算例得到了方程的数值解表达式,并验证了数值解与精确解高度拟合,进而证明了该差分格式的可行性。

This paper approximated the Fisher fractional differential equations and solved it with finite difference method. Then the paper reasonably analyzed the convergence and stability of the differential format which built by the above numerical solution. Finally, by calculating a numerical example and analyzing its error, this paper verified a great similarity between the equation＇s exact solution and numerical solution. And then it proved the feasibility of the differential scheme.