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Table 4 The maximum absolute error and convergence rate for Problem 3 with \(\operatorname{Re}=10^{2}\)

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 8.56(−03)   3.93(−04)   9.06(−05)   0.39
1/16 6.49(−04) 3.72 3.08(−06) 7.19 1.19(−06) 6.25 1.48
1/32 4.09(−05) 3.99 2.11(−08) 7.16 1.07(−08) 6.80 7.69
1/64 2.56(−06) 4.00 1.48(−10) 6.99 8.74(−11) 6.94 47.71