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Table 8 Problem 8.8: 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]
α = 1 α = 5 α = 10 α = 1 α = 5 α = 10
1/16 2.2420(−06) 2.8725(−06) 2.6025(−05) 2.5631(−05) 3.8351(−05) 3.0062(−04)
1/32 1.4784(−07) 1.9884(−07) 1.6322(−06) 1.7057(−06) 2.2772(−06) 1.8240(−05)
1/64 9.8422(−09) 1.2414(−08) 1.0205(−07) 1.0974(−07) 1.4068(−07) 1.1322(−06)