Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 8 Problem 4 : MAEs using ( 2.7a )-( 2.7b ) 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	1		10		\(\boldsymbol {10^{2}}\)
N	u	\(\boldsymbol {u'}\)	u	\(\boldsymbol {u'}\)	u	\(\boldsymbol {u'}\)
16	9.83e−06	3.37e−05	3.25e−03	2.03e−02	7.81e−02	8.71e−01
32	2.49e−06	8.22e−06	8.19e−04	4.93e−0332	1.48e−02	4.98e−01
64	6.23e−07	2.04e−06	2.05e−04	1.24e−03	3.68e−03	1.70e−01
128	1.56e−07	5.10e−07	5.12e−05	3.08e−04	9.20e−04	3.89e−02
256	3.90e−08	1.27e−07	1.28e−05	7.70e−05	2.30e−04	9.21e−03
Order	2.00	2.00	2.00	2.00	2.00	2.08

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