Theory and Modern Applications
Table 3 The approximation λk,Nand the exact solution λ k are all inside the interval [a−, a+] for different values of ε, where N = 20, m = 6, θ = 1/7
From: Computation of eigenvalues of discontinuous dirac system using Hermite interpolation technique
λ k Exact λ k | [a−, a+], ε= 10−8 | [a−, a+], ε= 10−12 | λ k,N |
|---|---|---|---|
λ−2 −3.5582593202564599 | [−3.753326, −3.387861] | [−3.565657, −3.551497] | −3.5582593202488253 |
λ−1 −1.9874629934615633 | [−2.134039, −1.835158] | [−1.991487, −1.983156] | −1.9874629934659096 |
λ0 −0.4166666666666667 | [−0.562608, −0.277479] | [−0.427095, −0.406713] | −0.41666666665625623 |
λ1 1.1541296601282299 | [1.017775, 1.295214] | [1.153811, 1.154454] | 1.1541296601279385 |
λ2 2.7249259869231266 | [2.561929, 2.895812] | [2.711312, 2.738729] | 2.7249259869365776 |