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

Table 6

Comparison of higher eigenvalues for Mathieu’s equation obtained from FDM, HWSM, and TDM corresponding to 𝜃=5.

𝑛	𝑛^2	𝜆𝑛(FDM)	𝜆𝑛 (HWSM)	𝜆𝑛 (TDM)
1	1	−5.7311	−5.4665	−5.79008
2	4	2.0992	2.6161	2.09946
3	9	9.2365	9.4227	9.23633
4	16	16.648	16.3707	16.6482
5	25	25.511	24.1471	25.5108
6	36	36.359	36.6577	36.3589

𝜆₁=−5.46653 (HWSM), −5.73115 (FDM), −5.79008 (TDM).