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

Table 3

For 𝑁=25 and ℎ=0.1, 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	−1.2061856254879546	−0.5151195632138896	0.34274095892547224	1.616237903407542
𝐼𝜀,𝑁, 𝜀=10^−2	[−1.2335696,−1.1771922]	[−0.5486790,−0.4826816]	[0.3246478,0.3601346]	[1.6100119,1.6224066]
𝐼𝜀,𝑁, 𝜀=10^−5	[−1.2062137,−1.2061575]	[−0.5151525,−0.5150867]	[0.3427232,0.3427586]	[1.6162317,1.6162441]