The Spectral Method for Solving Sine-Gordon Equation Using a New Orthogonal Polynomial

Table 5

Error norms for different values of 𝑁 of Experiment 3.

𝑁	𝐿2error norm	𝐿∞error norm
4	9.13×10^−3	7.36×10^−4
6	5.29×10^−4	3.77×10^−5
8	4.13×10^−5	2.94×10^−6
10	9.31×10^−7	7.30×10^−8
12	2.00×10^−7	3.82×10^−8
14	3.23×10^−8	7.21×10^−9
16	1.87×10^−8	3.94×10^−9