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Table 4 Problem 8.4: The maximum absolute errors

From: Operator compact exponential approximation for the solution of the system of 2D second order quasilinear elliptic partial differential equations

h Proposed method (2.12) Method discussed in [21]
ε = 0.1 ε = 0.01 ε = 0.001 ε = 0.1 ε = 0.01 ε = 0.001
1/16 1.0393(−05) 1.2348(−04) 6.7181(−04) 2.0616(−05) 2.4785(−04) 2.5130(−03)
1/32 6.4951(−07) 8.8062(−06) 6.5912(−05) 1.2695(−06) 1.7462(−05) 1.4391(−04)
1/64 4.0560(−08) 5.6947(−07) 5.2653(−06) 7.9012(−08) 1.1296(−06) 1.0375(−05)