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Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 2 Problem 8.2: 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

1.6725(−07)

7.8640(−07)

2.3294(−06)

4.6091(−06)

1/16

1.0634(−08)

5.0936(−08)

1.4731(−07)

2.9153(−07)

1/32

6.7900(−10)

3.2712(−09)

9.2898(−09)

1.8373(−08)

1/64

4.1975(−11)

1.9759(−10)

5.8207(−10)

1.1480(−09)

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