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Theory and Modern Applications

Table 10 Problem 4 : MAEs using ( 2.21a )-( 2.21b ) with \(\pmb{C=1}\)

From: A class of quasi-variable mesh methods based on off-step discretization for the solution of non-linear fourth order ordinary differential equations with Dirichlet and Neumann boundary conditions

λ

10

\(\boldsymbol {10^{2}}\)

u

\(\boldsymbol {u'} \)

u

\(\boldsymbol {u'} \)

8

3.06e−04

2.11e−03

9.80e−02

5.45e−01

16

2.08e−05

1.29e−04

1.99e−02

2.66e−01

32

1.33e−06

7.98e−06

2.00e−03

5.80e−02

64

8.32e−08

5.02e−07

1.43e−04

6.10e−03

128

5.23e−09

3.14e−08

9.23e−06

3.80e−04

Order

3.99

4.00

3.95

4.01