Barycentric Lagrange interpolation method for solving Love’s integral equations

Abstract In this paper, we present a new simple method for solving two integral equations of Love’s type that have many applications, especially in electrostatic systems. The approach the solution is based on an innovative technique using matrix algebra barycentric Lagrange interpolation. unknown function expressed through product four matrices. kernel interpolated twice, so get it five Additionally, derive equivalent linear algebraic system to by substituting matrix-vector together with double into both sides equation. Thus, there was no need employ collocation method. obtained results converge strongly approximate analytical solutions, addition being uniformly approximated, continuous, and even, which proves validity presented