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Table 9 Problem 8.9: 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 (7.3a)–(7.3b) Method discussed in [25]
α = 1 α = 5 α = 10 α = 1 α = 5 α = 10
1/16 2.5145(−06) 5.2636(−06) 9.8678(−06) 7.4745(−05) 5.5647(−05) 3.6038(−05)
1/32 1.5722(−07) 3.3169(−07) 6.1875(−07) 5.1113(−06) 3.6668(−06) 2.4504(−06)
1/64 9.7708(−09) 2.0628(−08) 3.9183(−08) 3.3505(−07) 2.3238(−07) 1.5557(−07)