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Theory and Modern Applications

Table 8 Problem 8.8: 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 = 1

α = 5

α = 10

α = 1

α = 5

α = 10

1/16

2.2420(−06)

2.8725(−06)

2.6025(−05)

2.5631(−05)

3.8351(−05)

3.0062(−04)

1/32

1.4784(−07)

1.9884(−07)

1.6322(−06)

1.7057(−06)

2.2772(−06)

1.8240(−05)

1/64

9.8422(−09)

1.2414(−08)

1.0205(−07)

1.0974(−07)

1.4068(−07)

1.1322(−06)