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Table 9 Problem 4 : MAEs using ( 2.7a )-( 2.7b ) with \(\pmb{C=\lambda}\)

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 \(\boldsymbol {10^{2}}\) \(\boldsymbol {10^{3}} \) \(\boldsymbol {10^{4}} \) \(\boldsymbol {10^{5}} \)
N u \(\boldsymbol {u'}\) u \(\boldsymbol {u'}\) u \(\boldsymbol {u'}\) u \(\boldsymbol {u'}\) u \(\boldsymbol {u'}\)
32 3.10e−04 2.13e−03 1.54e−04 8.59e−03 3.56e−05 1.91e−02 3.44e−05 3.37e−02 1.43e−02 6.35e−02
64 7.77e−05 5.34e−04 3.87e−05 2.16e−03 8.95e−06 4.83e−03 1.59e−06 8.60e−03 2.47e−07 1.33e−02
128 1.94e−05 1.33e−04 9.68e−06 5.41e−04 2.24e−06 1.22e−03 3.99e−07 2.16e−03 6.24e−08 3.37e−03
256 4.86e−06 3.33e−05 2.42e−06 1.35e−04 5.60e−07 3.05e−04 9.98e−08 5.41e−04 1.56e−08 8.46e−04
Order 2.00 2.00 2.00 2.00 2.00 2.00 2.00 2.00 2.00 1.99