Computation of Spectral Parameter of Discontinuous Dirac Systems with a Gaussian Multiplier

Table 6

For 𝑁=25 and ℎ=0.2, the exact solutions 𝜆_𝑘 are all inside the interval [𝑎₋,𝑎₊] for different values of 𝜀.

𝜆𝑘	𝜆−2	𝜆−1	𝜆0	𝜆1
Exact 𝜆𝑘	−3.0661256186938894	−1.0959703083466883	0.3689030343814017	1.8338437675275228
𝐼𝜀,𝑁, 𝜀=10^−2	[−3.1098742,−3.0188665]	[−1.1631502,−1.0339754]	[0.3437434,0.3933486]	[1.8220764,1.8454828]
𝐼𝜀,𝑁, 𝜀=10^−5	[−3.0661709,−3.0660803]	[−1.0960346,−1.0959060]	[0.3688783,0.3689278]	[1.8338321,1.8338555]