@misc{10481/99487, year = {2025}, month = {4}, url = {https://hdl.handle.net/10481/99487}, abstract = {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.}, organization = {Departamento de Matemática Aplicada de la Universidad de Granada Grupo de investigación FQM191-Matemática Aplicada de la Junta de Andalucía}, publisher = {Elsevier}, keywords = {Volterra integro-differential equation}, keywords = {Wendland radial basis functions}, keywords = {Variational methods}, title = {Numerical solution of a linear Volterra integro-differential problem}, doi = {10.1016/j.matcom.2024.10.036}, author = {González Rodelas, Pedro and Kouibia Krichi, Abdelouahed and Mustafa, Basim and Pasadas Fernández, Miguel}, }