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Table 6 Problem 8.6: 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]
\(R_{e}=10\) \(R_{e}=10^{2}\) \(R_{e}=10\) \(R_{e}=10^{2}\)
1/8 z 2.4506(−03) 5.8523(−03) 6.6056(−03) 7.5996(−03)
v 1.2759(−03) 4.2671(−03) 9.8564(−03) 2.0399(−02)
1/16 z 1.5568(−04) 3.7093(−04) 8.6235(−04) 1.9389(−03)
v 8.4150(−05) 2.6707(−04) 8.9744(−04) 3.6708(−03)
1/32 z 9.8510(−06) 2.3438(−05) 6.3020(−05) 3.8183(−04)
v 5.2923(−06) 1.6697(−05) 5.7202(−05) 4.9547(−04)