《Table 1:Convergence rate withτ=h for the first example》

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《基于Allen-Cahn方程图像修复的算子分裂方法（英文）》

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To verify second order accuracy in both time and space，we choose the time step and space step asτ=h，final time T=0.5 and parameter.The strategy is not related to the major context.Hence we only count toτ=1/160 since the prohibitive computer memory and CPU time requirements.The computational results for differentτs are presented in Table 1.It is suggested that the accuracy of the method approach second order with the decrease of mesh sizes.