In this paper, Radial Basis Functions (RBFs) Interpolation is used for the solution of Volterra integral equations of the first kind. We used three types of RBFs: Inverse Multiquadric, Multiquadric and Gaussian. The goal of this work is to verify the effectiveness of the method on solving the Volterra integral equation of the first kind numerically. Moreover, we look into the possibility of the convergence of the method by increasing the number of center points. This investigation is done by studying three different examples verifying the performance of the method and showing the behavior of error using the Root-Mean-Square-Deviation (RMSD). Finally, the results show that the Gaussian has superiority over the Multiquadric and Inverse Multiquadric radial basis functions.

Title

International Journal of Statistics and Applied Mathematics

Publisher

AkiNik Publications

Publisher Country

India

Publication Type

Online only

Volume

8

Year

2023

Pages

25-30