A New Approach for Linear Eigenvalue Problems and Nonlinear Euler Buckling Problem

Table 3

Comparison of the first eigenvalue and solutions of Example 3.1 using TDM and Table 4 from [9], when 𝑝=16, 𝑛=2, and ℎ=0.0625.

𝑥	HWSM	FDM	TDM
0	0	0	0
0.0625	0.27521	0.27756	0.277563
0.125	0.54181	0.54434	0.544337
0.1875	0.78949	0.78996	0.789953
0.25	1.00485	1.00488	1.00487
0.3125	1.18153	1.18075	1.18074
0.375	1.31286	1.31082	1.31076
0.4375	1.39372	1.38996	1.38994
0.5	1.42102	1.41527	1.41529
0.5625	1.39371	1.38591	1.38598
0.625	1.31285	1.30323	1.30334
0.6875	1.18154	1.18066	1.17081
0.75	1.0048	0.99361	0.993792
0.8125	0.77949	0.77917	0.779357
0.875	0.53481	0.53577	0.535934
0.9375	0.27726	0.27277	0.272878
1	0	0	0

𝜆₁=10.3452 (HWSM), 9.95067 (FDM), 9.98317 (TDM).