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

Table 13

Comparing the exact, sinc, and Hermite solutions at 𝑁=40, 𝑚=2.

𝜇𝑘	Sinc 𝜇𝑘,𝑁 [9]	Exact 𝜇𝑘	Hermite 𝜇𝑘,𝑁	𝐸𝑆	𝐸𝐻
𝜇1	3.119437080035764	3.1194369008225	3.1194368826279857	1.79213×10^−7	1.81945×10^−8
𝜇2	9.421424381799804	9.421428536270897	9.421428567680044	4.15447×10^−6	3.14091×10^−8
𝜇3	12.565198874263179	12.565194405126995	12.56519440514131	4.46914×10^−6	1.43157×10^−11