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Table 1 Problem 8.1: 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]
β = 10 β = 50 β = 10 β = 50
1/8 3.9130(−03) 1.8496(−01) 6.4316(−01) 9.0714(−01)
1/16 2.2523(−04) 3.7172(−02) 6.4286(−01) 9.0637(−01)
1/32 1.4489(−05) 3.8020(−03) 6.4284(−01) 9.0637(−01)
1/64 9.0056(−07) 2.3439(−04) 6.4284(−01) 9.0637(−01)