Skip to main content

Table 11 Problem 4 : MAEs using ( 2.21a )-( 2.21b ) 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 \(\boldsymbol {10^{2}}\) \(\boldsymbol {10^{3}} \) \(\boldsymbol {10^{4}} \)
u \(\boldsymbol {u'} \) u \(\boldsymbol {u'} \) u \(\boldsymbol {u'} \)
32 2.49e−05 7.22e−04 2.38e−02 1.02e−01 4.70e−01 2.00e+00
64 5.35e−06 1.50e−04 1.58e−06 4.13e−04 1.00e−02 4.45e−02
128 8.32e−07 2.33e−05 2.83e−07 7.34e−05 1.60e−05 9.37e−05
256 1.15e−07 3.22e−06 4.15e−08 1.07e−05 1.42e−08 2.41e−05
512 1.49e−08 4.23e−07 5.52e−09 1.43e−06 1.32e−09 3.35e−06
Order 2.95 2.93 2.91 2.90 3.43 2.85