Skip to main content

Table 7 The maximum error and convergence rate for Problem 1, Problem 2 with \(\varepsilon = 10^{ - 1}\) and Problem 3 with \(\operatorname{Re}=10\)

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

\(h_{x}\) \(h_{y}\) Problem 1 Problem 2 Problem 3
Error Rate Error Rate Error Rate
1/16 1/8 1.84(−08)   3.85(−05)   6.15(−05)  
1/32 1/16 1.87(−10) 6.62 5.14(−07) 6.23 8.95(−07) 6.10
1/64 1/32 1.88(−12) 6.63 4.80(−09) 6.74 8.56(−09) 6.71
1/8 1/16 1.76(−06)   3.85(−05)   6.27(−05)  
1/16 1/32 2.09(−08) 6.40 5.14(−07) 6.23 7.47(−07) 6.39
1/32 1/64 2.97(−10) 6.14 4.59(−09) 6.81 7.85(−09) 6.57