Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 15 Problem 6 : MAEs and RMSEs using ( 2.7a )-( 2.7b ) and ( 2.21a )-( 2.21b )

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

N	Second order scheme ( C = 0.5)				Third order scheme ( C = 0.6)
	u		\(\boldsymbol {u'} \)		u		\(\boldsymbol {u'} \)
	MAE	RMSE	MAE	RMSE	MAE	RMSE	MAE	RMSE
8	2.254e−03	8.560e−03	1.521e−03	5.047e−03	2.40e−04	1.67e−04	7.48e−04	4.76e−04
16	5.225e−04	1.969e−03	3.401e−04	1.164e−03	2.17e−05	1.45e−05	8.88e−05	4.60e−05
32	1.259e−04	4.542e−04	7.999e−05	2.754e−04	2.19e−06	1.43e−06	8.30e−06	4.76e−06
64	3.091e−05	1.112e−04	1.945e−05	6.718e−05	2.43e−07	1.57e−07	8.73e−07	5.29e−07
Order	2.0266	2.0301	2.0395	2.0356	3.17	3.19	3.25	3.17

Back to article page