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Table 6 The maximum error and convergence rate for Problem 3 with \(\operatorname{Re}=10^{6}\)

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

h FOC scheme [8] CCD2 scheme [1] BCD scheme
Error Rate Error Rate Error Rate CPU
1/8 1.50(−02)   4.16(−04)   7.78(−05)   0.97
1/16 4.82(−03) 1.63 4.29(−06) 6.60 1.01(−06) 6.27 4.25
1/32 1.84(−03) 1.39 3.55(−08) 6.92 9.02(−09) 6.81 40.28
1/64 6.21(−04) 1.56 2.87(−10) 6.95 7.37(−11) 6.94 211.16