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Theory and Modern Applications

Table 3 Problem 8.3: 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 (6.5)

Method discussed in [21]

α = 1

α = 2

α = 1

α = 2

1/8

8.7756(−07)

4.5043(−07)

1.6604(−06)

2.8030(−06)

1/16

4.1258(−08)

3.4516(−08)

1.0530(−07)

1.7649(−07)

1/32

1.8296(−09)

2.4751(−09)

6.6915(−09)

1.1082(−08)

1/64

1.1482(−10)

1.4936(−10)

4.2259(−10)

6.9292(−10)