Barycentric Lagrange interpolation method for solving Love’s integral equations

Boundary Value Problems

Table 2 The absolute errors \(R_{n} ( x_{i} )\) of the interpolated matrix-vector barycentric polynomials \(u_{n} ( x_{i} )\) for \(n = 2,3,5,15,20\) at \(x_{i} = - 1:0.2:1\)

\(x_{i}\)	\(R_{2} ( x_{i} )\)	\(R_{3} ( x_{i} )\)	\(R_{5} ( x_{i} )\)	\(R_{15} ( x_{i} )\)	\(R_{20} ( x_{i} )\)
−1	0.0037	0.008	0.0022	0.0028	0.0028
−0.8	0.0419	0.0111	0.0032	0.0005	0.0005
−0.6	0.0677	0.0163	0.002	0.0002	0.0002
−0.4	0.0824	0.0163	0.0002	0.0002	0.0002
−0.2	0.0902	0.0152	0.0016	0.0002	0.0002
0	0.0927	0.0148	0.002	0.0002	0.0002
0.2	0.0902	0.0152	0.0016	0.0002	0.0002
0.4	0.0824	0.0163	0.0002	0.0002	0.0002
0.6	0.0677	0.0163	0.002	0.0002	0.0002
0.8	0.0419	0.0111	0.0032	0.0005	0.0005
1	0.0032	0.0075	0.0017	0.0023	0.0023