In this paper we propose an approximation method for solving second kind Volterra integral equation systems by radial basis functions. It is based on the minimization of a suitable functional in a discrete space generated by compactly supported radial basis functions of Wendland type. We prove two convergence results, and we highlight this because most recent published papers in the literature do not include any. We present some numerical examples in order to show and justify the validity of the proposed method. Our proposed technique gives an acceptable accuracy with small use of the data, resulting also in a low computational cost.

Title

Mathematics

Publisher

Multidisciplinary Digital Publishing Institute (MDPI)

Publisher Country

Switzerland

Indexing

Scopus

Impact Factor

2.3

Publication Type

Both (Printed and Online)

Volume

--

Year

2022

Pages

--