Bernstein-Polynomials-Based Highly Accurate Methods for One-Dimensional Interface Problems

Table 10

Convergence analysis of Example 4.2 by Lagrange collocation method (𝛽₁=10, 𝛽₂=100).

𝑁	Equidistant collocation points			C-G-L collocation points
	Cond	‖𝑢−𝑈‖𝐿2	‖𝑢−𝑈‖𝐻1	Cond	‖𝑢−𝑈‖𝐿2	‖𝑢−𝑈‖𝐻1
4	9.8076𝑒+002	1.7618𝑒−004	2.8143𝑒−004	1.1152𝑒+003	4.9906𝑒−005	1.3489𝑒−004
6	4.1388𝑒+003	2.6676𝑒−007	3.8509𝑒−007	4.6618𝑒+003	2.9181𝑒−008	7.8955𝑒−008
8	2.0589𝑒+004	2.0054𝑒−010	2.7699𝑒−010	1.4939𝑒+004	9.1229𝑒−012	2.4579𝑒−011
10	1.2877𝑒+005	2.4447𝑒−013	4.5634𝑒−013	3.8643𝑒+004	7.1025𝑒−014	9.6688𝑒−014
12	1.4925𝑒+006	3.0489𝑒−012	4.3164𝑒−012	8.5365𝑒+004	8.5589𝑒−013	1.2211𝑒−012