Boundary Galerkin Method of a Skew-Derivative Problem in the Exterior of an Open Arc Based on Chebyshev Polynomials

Table 6

𝐿²-errors and relative 𝐿²-errors of an arc on the unit circle with 𝑓≡1.

𝑁	‖𝑤[𝜇]−𝑤[𝜇]‖𝐿2	‖𝑤[𝜇]−𝑤[𝜇]‖𝐿2‖𝑤‖𝐿^2	‖𝑣[𝜇]−𝑣[𝜇]‖𝐿2	‖𝑣[𝜇]−𝑣[𝜇]‖𝐿2‖𝑣‖𝐿^2
3	6.0414 × 10^−7	1.3580 × 10^−6	5.8808 × 10^−7	1.3858 × 10^−6
5	4.1341 × 10^−9	9.2929 × 10^−9	3.9567 × 10^−9	9.3237 × 10^−9
10	2.1323 × 10^−13	4.7930 × 10^−13	1.9174 × 10^−13	4.5181 × 10^−13