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Table 1 The maximum absolute error and convergence rate of different discretization for Problem 1

From: A higher-order blended compact difference (BCD) method for solving the general 2D linear second-order partial differential equation

h CCD2 Scheme [1] BCD Scheme
Error Rate Error Rate CPU
1/8 5.97(−06)   1.64(−06)   0.84
1/16 1.56(−07) 5.26 2.04(−08) 6.33 4.38
1/32 3.14(−09) 5.63 1.96(−10) 6.70 22.40
1/64 5.75(−11) 5.77 1.82(−12) 6.75 104.80