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

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 1.67(−04)   6.67(−05)   0.87
1/16 1.12(−06) 7.21 8.67(−07) 6.27 5.63
1/32 8.80(−09) 6.99 9.64(−09) 6.49 50.90
1/64 6.90(−11) 7.00 1.36(−10) 6.15 398.46