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Table 1 The approximation μ k , N and the exact solution μ k for different choices of h and N

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

μ k , N

h = 0.5, ω = 1.0708

N = 10

0.5795964187714981

1.7849867099956038

3.2386476744424746

4.770562422264749

N = 20

0.5796031144857375

1.7849838950724857

3.2386473497857042

4.770562335603019

h = 0.1, ω = 1.4708

N = 10

0.5796031130499404

1.7849838962430518

3.2386473440949666

4.770562334447039

N = 20

0.579603114810984

1.7849838948888386

3.2386473497514174

4.770562335590528