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

Table 1

Comparing the exact, sinc, and Hermite solutions at 𝑁=20, 𝑚=8, and 𝜃=1/6.

𝜇𝑘	Sinc 𝜇𝑘,𝑁 [15]	Exact 𝜇𝑘	Hermite 𝜇𝑘,𝑁
𝜇1	0.5796031003909555	0.579603114810978	0.5796031148176034
𝜇2	1.7849838911323737	1.7849838948888357	1.7849838948886403
𝜇3	3.2386473557238586	3.238647349751419	3.238647349751933
𝜇4	4.7705623346546995	4.770562335590527	4.770562335590518
𝜇5	6.32570436013402	6.3257043646722515	6.325704364672412