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Table 10 Problem 8.10: 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 (7.7a)–(7.7c) Method discussed in [27]
α = 1 α = 5 α = 10 α = 1 α = 5 α = 10
1/16 2.3858(−06) 3.2640(−06) 4.4844(−06) 8.6722(−05) 6.5269(−05) 4.2669(−05)
1/32 1.4986(−07) 2.0592(−07) 2.8234(−07) 5.1941(−06) 4.1014(−06) 2.6692(−06)
1/64 9.1825(−09) 1.2267(−08) 1.6584(−08) 3.1737(−07) 2.5784(−07) 1.6686(−07)