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Theory and Modern Applications

Table 3 Example 3: 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 [18]

Method discussed in [13]

1

1.1734(−05)

8.4059(−05)

2.5945(−02)

2

3.9568(−05)

2.7154(−04)

2.7959(−02)

3

7.8924(−05)

5.3351(−04)

2.6701(−02)

4

1.2925(−04)

8.5210(−04)

3.5172(−02)