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.

Title

Mathematics and Computers in Simulation

Publisher

Elsevier B.V

Publisher Country

Netherlands

Indexing

Scopus

Impact Factor

4.4

Publication Type

Both (Printed and Online)

Volume

--

Year

2024

Pages

--