Computing Eigenvalues of Discontinuous Sturm-Liouville Problems with Eigenparameter in All Boundary Conditions Using Hermite Approximation

Table 2

Comparing the exact, sinc, and Hermite solutions at 𝑁=20, 𝑚=12, and 𝜃=1/4.

𝜇𝑘	Sinc 𝜇𝑘,𝑁 [15]	Exact 𝜇𝑘	Hermite 𝜇𝑘,𝑁
𝜇1	0.5796031148103449	0.57960311481097786078	0.57960311481097786304
𝜇2	1.7849838948900418	1.78498389488883561160	1.78498389488883560884
𝜇3	3.2386473497526262	3.23864734975141899542	3.23864734975141899687
𝜇4	4.77056233558413	4.77056233559052749760	4.77056233559052748750
𝜇5	6.325704364662005	6.32570436467225155153	6.32570436467225155387