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Table 3 For N=20 and h=0.1 , the exact solutions μ k are all inside the interval [ a − , a + ] for different values of ε

From: Approximation of eigenvalues of discontinuous Sturm-Liouville problems with eigenparameter in all boundary conditions

 

μ k

μ 1

μ 2

μ 3

μ 4

Exact μ k

0.579603114810978

1.7849838948888357

3.238647349751419

4.770562335590527

I ε , N , ε = 10−2

[0.5346366,0.6204846]

[1.7756360,1.7941072]

[3.23662663,3.2406609]

[4.7698996,4.7712244]

I ε , N , ε = 10−5

[0.5795603,0.5796458]

[1.7849746,1.7849931]

[3.2386453,3.2386493]

[4.7705616,4.7705630]