A Chebyshev Spectral Method with Null Space Approach for Boundary-Value Problems of Euler-Bernoulli Beam

Table 2

Maxi-max errors of natural frequencies and mode shapes by using RSC and NSA approaches.

Mode order	Maxi-max errors of natural frequencies		Maxi-max errors of mode shapes
	RSC	NSA	RSC	NSA
5	2.73E-06	2.09E-11	1.39E-06	6.77E-11
10	1.69E-03	2.79E-11	1.44E-02	3.33E-11
15 to 20	0.001685759	< 1.56E-09	0.014375	< 7.33E-10
25 to 45	0.556364694	< 1.53E-08	0.332986	< 5.01E-08
30 to 45	0.556364694	2.09E-09	0.332986	2.17E-08
50 to 110	1.046748562	3.86E-10	0.865779	< 4.59E-07
115 to 170	1.755796169	< 1.35E-09	0.931819	< 2.96E-08
175 to 200	0.909712404	< 3.59E-09	0.994279	< 5.22E-08