时间分数阶慢扩散方程的一类有效差分方法
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赵雅迪,吴立飞,杨晓忠,孙淑珍
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A Kind of Efficient Difference Method for the Time Fractional Sub-Diffusion Equation
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Yadi Zhao,Lifei Wu,Xiaozhong Yang,Shuzhen Sun
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表 2 E-I格式的误差和空间收敛阶($\tau=h^2$)
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| Implicit | | E-I | | $m$ | $L_{h, \tau}^2$ | Order1 | | $L_{h, \tau}^2$ | Order1 | | 20 | 2.593343e-3 | — | | 2.958102e-3 | — | | 40 | 6.548375e-4 | 1.985604 | | 6.245729e-4 | 2.243741 | | 80 | 1.667856e-4 | 1.973142 | | 1.418638e-4 | 2.138363 | | 160 | 4.221036e-5 | 1.982326 | | 3.564083e-5 | 1.992904 | | 320 | 1.057340e-5 | 1.997158 | | 8.933510e-6 | 1.996232 |
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