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Theory and Modern Applications

Table 7 Problem 8.7: 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 (2.12)

Method discussed in [21]

α = 10

α = 25

α = 10

α = 25

1/16

3.8618(−05)

2.6193(−04)

1.4642(−04)

4.8477(−04)

1/32

2.4173(−06)

1.4481(−05)

9.1279(−06)

2.9675(−05)

1/64

1.5114(−07)

8.7080(−07)

5.6914(−07)

1.8430(−06)