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Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 4 Problem 8.4: 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]

ε = 0.1

ε = 0.01

ε = 0.001

ε = 0.1

ε = 0.01

ε = 0.001

1/16

1.0393(−05)

1.2348(−04)

6.7181(−04)

2.0616(−05)

2.4785(−04)

2.5130(−03)

1/32

6.4951(−07)

8.8062(−06)

6.5912(−05)

1.2695(−06)

1.7462(−05)

1.4391(−04)

1/64

4.0560(−08)

5.6947(−07)

5.2653(−06)

7.9012(−08)

1.1296(−06)

1.0375(−05)

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