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Theory and Modern Applications

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)