Numerical Algorithms for Computing Eigenvalues of Discontinuous Dirac System Using Sinc-Gaussian Method

Table 3

The absolute errors of sinc-Gaussian and the classical sinc-method with 𝑁=20, ℎ=0.3, 𝜔=1.2708.

𝜆𝑘	Sinc	Exact 𝜆𝑘	Sinc-Gaussian 𝜆𝑘,𝑁	𝐸	𝐸𝐺
𝜆−2	−3.29646018123751	−3.29645993245731	−3.29645993245735	2.48×10^−7	4.21×10^−14
𝜆−1	−1.7256638185270	−1.7256636056624	−1.7256636056621	2.12×10^−7	2.68×10^−13
𝜆0	−0.154867300702813	−0.154867278867517	−0.154867278867127	2.18×10^−8	3.89×10^−13
𝜆1	1.41592898901685	1.41592904792737	1.41592904792752	5.89×10^−8	1.44×10^−13
𝜆2	2.98672509121710	2.9867253747222	2.98672537472225	2.83×10^−7	1.86×10^−14