Barycentric Lagrange interpolation method for solving Love’s integral equations

Boundary Value Problems

Table 3 The matrix-vector barycentric interpolated polynomial solutions \(\tilde{u}_{n} ( x_{i} )\) for \(n = 2,3,5,15,20\) at \(x_{i} = - 1:0.2:1\)

\(x_{i}\)	\(u_{2} ( x_{i} )\)	\(u_{3} ( x_{i} )\)	\(u_{5} ( x_{i} )\)	\(u_{15} ( x_{i} )\)	\(u_{20} ( x_{i} )\)
−1	0.76732	0.76044	0.7557	0.75572	0.75572
−0.8	0.72189	0.72214	0.72101	0.72249	0.72249
−0.6	0.68656	0.69234	0.69374	0.69448	0.69448
−0.4	0.66132	0.67106	0.67412	0.67389	0.67389
−0.2	0.64617	0.6583	0.66229	0.66152	0.66152
0	0.64113	0.65404	0.65833	0.65741	0.65741
0.2	0.64617	0.6583	0.66229	0.66152	0.66152
0.4	0.66132	0.67106	0.67412	0.67389	0.67389
0.6	0.68656	0.69234	0.69374	0.69448	0.69448
0.8	0.72189	0.72214	0.72101	0.72249	0.72249
1	0.76732	0.76044	0.7557	0.75572	0.75572