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Table 6 Problem 3 : 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 \(\boldsymbol {10^{2}} \) \(\boldsymbol {10^{3}} \) \(\boldsymbol {10^{4}} \)
N u \(\boldsymbol {u'}\) u \(\boldsymbol {u'}\) u \(\boldsymbol {u'}\)
8 1.17e−05 9.57e−05 3.89e−04 4.67e−03 3.03e−03 2.43e−02
16 8.21e−07 6.06e−06 4.25e−05 6.63e−04 6.87e−04 1.37e−02
32 5.27e−08 3.67e−07 3.02e−06 4.94e−05 8.75e−05 2.98e−03
64 3.33e−09 2.31e−08 1.95e−07 2.93e−06 6.84e−06 3.08e−04
128 2.14e−10 1.46e−09 1.23e−08 1.81e−07 4.55e−07 1.90e−05
Order 3.96 3.98 3.99 4.02 3.91 4.01