多项时间分数阶扩散方程类Carey非协调元的误差分析  

Error Analysis of Quasi-Carey Nonconforming Element for Multi-Term Time Fractional Diffusion Equations

作　　者：马国锋[1] MA Guofeng(School of Science,Xuchang University,Xuchang 461000,China)

机构地区：[1]许昌学院数理学院,河南许昌461000

出　　处：《许昌学院学报》2024年第2期7-11,共5页Journal of Xuchang University

摘　　要：基于L^(1)全离散格式,针对具有Caputo导数的二维多项时间分数阶扩散方程给出了类Carey非协调有限元方法.利用该单元的特殊性质和分数阶导数巧妙的处理技巧导出了L^(2)模和H^(1)模意义下的最优误差估计.A quasi-Carey nonconforming finite element method for a class of two-dimensional multi-term time fractional diffusion equations with Caputo fractional derivative is established under classical L^(1)fully-discrete approximation scheme.By use of the special property of the element and fractional derivative skillfully technique,the optimal error estimates in L^(2)-norm and H^(1)-norm are derived.

关 键 词：多项时间分数阶扩散方程 类Carey元 全离散格式 最优误差估计 

分 类 号：O242.21[理学—计算数学]