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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