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Theory and Modern Applications

Table 1 Problem 8.1: 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]

β = 10

β = 50

β = 10

β = 50

1/8

3.9130(−03)

1.8496(−01)

6.4316(−01)

9.0714(−01)

1/16

2.2523(−04)

3.7172(−02)

6.4286(−01)

9.0637(−01)

1/32

1.4489(−05)

3.8020(−03)

6.4284(−01)

9.0637(−01)

1/64

9.0056(−07)

2.3439(−04)

6.4284(−01)

9.0637(−01)