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Table 5 Problem 8.5: 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 (5.12) Method discussed in [21]
\(R_{e}=10\) \(R_{e}=10^{2}\) \(R_{e}=10\) \(R_{e}=10^{2}\)
1/16 z 1.2914(−06) 1.0250(−05) 3.8170(−05) 7.9117(−04)
v 1.5074(−06) 4.9247(−05) 2.0205(−05) 8.1179(−04)
1/32 z 8.1723(−08) 5.7969(−06) 2.4148(−06) 4.4070(−05)
v 9.2739(−08) 3.0772(−06) 1.2680(−06) 4.6982(−05)
1/64 z 5.1144(−09) 3.5421(−07) 1.5149(−07) 2.6562(−06)
v 5.7879(−09) 1.9343(−07) 7.9504(−08) 3.0175(−06)