时间分数阶扩散方程线性三角形元的高精度分析
史艳华,张亚东,王芬玲,赵艳敏,王萍莉

High Accuracy Analysis of Linear Triangular Element for Time Fractional Diffusion Equations
Yanhua Shi,Yadong Zhang,Fenling Wang,Yanmin Zhao,Pingli Wang
表 3 $\|u^n-U^n\|_{0}$取不同$\alpha$时在空间方向的误差和收敛阶
$\alpha$$h$$t_{n}=0.2$$t_{n}=0.4$$t_{n}=0.7$$t_{n}=0.9$
1/43.952e-02/8.084e-02/1.437e-01/1.860e-01/
$1/8$1.042e-021.9232.140e-021.9183.814e-021.9144.942e-021.912
0.3$1/16$2.640e-031.9815.424e-031.9809.676e-031.9791.254e-021.979
$1/32$6.622e-041.9951.361e-031.9952.428e-031.9953.146e-031.995
1/43.642e-02/7.756e-02/1.413e-01/1.844e-01/
1/89.487e-021.9412.039e-021.9283.737e-021.9194.889e-021.915
0.6$1/16$2.395e-031.9865.158e-031.9839.471e-031.9801.240e-021.979
$1/32$6.002e-041.9971.293e-031.9952.376e-031.9953.111e-031.995
$1/4$3.229e-02/7.331e-02/1.388e-01/1.833e-01/
$1/8$8.277e-031.9641.908e-021.9423.656e-021.9254.851e-021.918
0.9$1/16$2.081e-031.9924.814e-031.9869.255e-031.9821.230e-021.980
$1/32$5.209e-041.9981.206e-031.9972.321e-031.9963.084e-031.995