【摘要】 基于L1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.更多还原

【Abstract】 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 L1 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.更多还原