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

Table 8

Comparing the exact, sinc, and Hermite solutions at 𝑁=40, 𝑚=16, and 𝜃=1/12.

𝜇𝑘	Sinc 𝜇𝑘,𝑁 [15]	Exact 𝜇𝑘	Hermite 𝜇𝑘,𝑁
𝜇1	0.58718716772553041066238963	0.58718716772603949302708573	0.58718716772603949300999675
𝜇2	1.67733212404966397991332993	1.67733212404977904702706192	1.67733212404977904702798867
𝜇3	3.05318927948463571892007113	3.05318927948461569256662121	3.05318927948461569256652760
𝜇4	4.648369480494569410072581778	4.64836948049456789592198501	4.64836948049456789592198641
𝜇5	6.22695152029019694414158617	6.2269515202901999697647050	6.226951520290199969764695999