Numerical solution of a linear Volterra integro-differential problem González Rodelas, Pedro Kouibia Krichi, Abdelouahed Mustafa, Basim Pasadas Fernández, Miguel Volterra integro-differential equation Wendland radial basis functions Variational methods In this paper we develop an approximation method for numerically solving a linear Volterra integro-differential problem. The proposed method is based on a functional minimization problem in a finite-dimensional space generated by a finite Wendland’s type radial basis functions (RBFs) set. The existence and uniqueness of the solution are established and some convergence results are proved. Finally we present some numerical examples to show the effectiveness of this discrete method. 2025-01-17T08:53:33Z 2025-01-17T08:53:33Z 2025-04 journal article https://hdl.handle.net/10481/99487 10.1016/j.matcom.2024.10.036 eng http://creativecommons.org/licenses/by-nc-nd/4.0/ embargoed access Attribution-NonCommercial-NoDerivatives 4.0 Internacional Elsevier