摘要
针对一类含有Caputo导数的分数阶非线性初值问题建立了一个时间有限元格式.运用压缩映像原理分析了格式的存在唯一性,并对时间有限元算法的误差估计进行详细讨论,数值例子表明,格式是可行的,数值收敛阶符合理论分析.
In this paper,the time Galerkin finite element algorithm is formulated for a type of nonlinear time fractional differential equation.The existence and uniqueness are proven and priori error estimate for this algorithm are studied in detail.Numerical example for the nonlinear ordinary fractional equation with initial value are given which confirm the theoretical convergence rate.
出处
《淮北师范大学学报（自然科学版）》
CAS
2017年第1期1-6,共6页
Journal of Huaibei Normal University：Natural Sciences
基金
supported by Natural Science Foundation of Anhui Provence Under Grant(1408085MA14)
The National Natural Science Foundation of China Under Gran(t11301333)
The Innovation Program of Shanghai Municipal Education Commission Under Gran(t14YZ165)~~
