In this work, we present a Galerkin approach for solving the linear integro-differential equation of the second kind with Cauchy kernel. We use the orthogonal basis functions Legendre polynomials of the first and of the second kind. © 2001 Elsevier Science B.V. All rights reserved.
Badr, A. A. (2001). Integro-differential equation with cauchy kernel. Journal of Computational and Applied Mathematics, 134(1–2), 191–199. https://doi.org/10.1016/S0377-0427(00)00536-7