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Theory and Modern Applications

Table 2 Example 2: The global relative errors

From: A new two-level implicit scheme of order two in time and four in space based on half-step spline in compression approximations for unsteady 1D quasi-linear biharmonic equations

t

Proposed method (3.39)–(3.40)

Method discussed in [15]

Method discussed in [13]

6

3.9866(−07)

6.5093(−06)

7.8808(−06)

8

4.7197(−07)

7.1315(−06)

9.5324(−06)

10

5.2943(−07)

7.3103(−06)

1.0891(−06)

12

5.8154(−07)

8.7766(−06)

1.1793(−06)