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

Table 7

Comparing the exact, sinc, and Hermite solutions at 𝑁=40, 𝑚=12, and 𝜃=1/14.

𝜇𝑘	Sinc 𝜇𝑘,𝑁 [15]	Exact 𝜇𝑘	Hermite 𝜇𝑘,𝑁
𝜇1	0.58718720635351373438	0.58718716772603949302	0.58718716772603439313
𝜇2	1.67733213643112965108	1.67733212404977904702	1.67733212404977962102
𝜇3	3.05318928070135885375	3.05318927948461569256	3.05318927948461567248
𝜇4	4.64836948022942956741	4.64836948049457049728	4.64836948049456789884
𝜇5	6.22695152015827473816	6.22695152029019996978	6.22695152029019996831