Numerical Solution of Linear Volterra Integral Equation Systems of Second Kind by Radial Basis Functions

P González-Rodelas, M Pasadas, A Kouibia, B Mustafa - Mathematics, 2022 - mdpi.com
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 …

Analytical solution of system of Volterra integral equations using OHAM

M Akbar, R Nawaz, S Ahsan, D Baleanu… - Journal of …, 2020 - Wiley Online Library
In this work, a reliable technique is used for the solution of a system of Volterra integral
equations (VIEs), called optimal homotopy asymptotic method (OHAM). The proposed …

Implicit Hybrid Block Collocation Method for the Solution of Volterra Integral Equation of the Second Kind

D Raymond, A Adu, R Ajia - Asian Journal of Pure and Applied …, 2023 - jofmath.com
This paper proposes a three-step hybrid block method with two off-grid collocation points
that solves Volterra integral equation of the second kind. The collocation of power series and …

[PDF][PDF] New developments and applications of radial basis functions in interpolation, approximation and data science

B Mustafa - 2024 - digibug.ugr.es
We explore Radial Basis Functions (RBF) and their applications. The journey begins with
the solution of integral equations and integro-differential problems, followed by an …

Radial Kernels Collocation Method for the Solution of Volterra Integro-Differential Equations

SM Nengem, F Haruna, SD Bitrus - Science, Engineering and …, 2024 - setjournal.com
Radial kernel interpolation is an advanced method in approximation theory for the
construction of higher order accurate interpolants for scattered data up to higher …

[PDF][PDF] Numerical Solution of Linear Volterra Integral Equation Systems of Second Kind by Radial Basis Functions. Mathematics 2022, 10, 223

P González-Rodelas, M Pasadas, A Kouibia, B Mustafa - 2022 - academia.edu
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 …