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Theory and Modern Applications

Table 6 Problem 8.6: 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 (5.12)

Method discussed in [21]

\(R_{e}=10\)

\(R_{e}=10^{2}\)

\(R_{e}=10\)

\(R_{e}=10^{2}\)

1/8

z

2.4506(−03)

5.8523(−03)

6.6056(−03)

7.5996(−03)

v

1.2759(−03)

4.2671(−03)

9.8564(−03)

2.0399(−02)

1/16

z

1.5568(−04)

3.7093(−04)

8.6235(−04)

1.9389(−03)

v

8.4150(−05)

2.6707(−04)

8.9744(−04)

3.6708(−03)

1/32

z

9.8510(−06)

2.3438(−05)

6.3020(−05)

3.8183(−04)

v

5.2923(−06)

1.6697(−05)

5.7202(−05)

4.9547(−04)