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Advances in Continuous and Discrete Models

Theory and Modern Applications

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)

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