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Table 2 The maximum absolute error and convergence rate for Problem 2 with \(\varepsilon = 10^{ - 1}\)

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 1.27(−04)   4.72(−05)   0.37
1/16 1.09(−06) 6.87 5.73(−07) 6.36 1.37
1/32 8.71(−09) 6.96 5.24(−09) 6.77 7.67
1/64 6.87(−11) 6.99 4.89(−11) 6.74 40.27