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

Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 11 Problem 4 : MAEs using ( 2.21a )-( 2.21b ) with \(\pmb{C=\lambda}\)

λ	\(\boldsymbol {10^{2}}\)		\(\boldsymbol {10^{3}} \)		\(\boldsymbol {10^{4}} \)
λ	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