A computational approach for solving third kind VIEs by collocation method based on radial basis functions

E Aourir, N Izem, HL Dastjerdi - Journal of Computational and Applied …, 2024 - Elsevier
This work presents a meshless collocation method based on radial basis functions for
solving third kind VIEs. This method is an interpolation approach where the radial basis …

A collocation method based on roots of Chebyshev polynomial for solving Volterra integral equations of the second kind

Z Wang, X Hu, B Hu - Applied Mathematics Letters, 2023 - Elsevier
This paper mainly studies numerical solution to the Volterra integral equation of the second
kind. By using the roots of Chebyshev polynomial as collocation points, a new collocation …

Weakly singular linear Volterra integral equations: A Nyström method in weighted spaces of continuous functions

L Fermo, D Occorsio - Journal of Computational and Applied Mathematics, 2022 - Elsevier
This paper provides a Nyström method for the numerical solution of Volterra integral
equations whose kernels contain singularities of algebraic type. It is proved that the method …

Projection methods for approximate solution of a class of nonlinear Fredholm integro-differential equations

M Mandal, A Kayal, G Nelakanti - Applied Numerical Mathematics, 2023 - Elsevier
The aim of this article is to find the approximate solution of the nonlinear Fredholm integro-
differential equations of second kind with smooth kernels with less computational complexity …

On the numerical solution of Volterra integral equations on equispaced nodes

L Fermo, D Mezzanotte, D Occorsio - arXiv preprint arXiv:2207.06736, 2022 - arxiv.org
In the present paper, a Nystrom-type method for second kind Volterra integral equations is
introduced and studied. The method makes use of generalized Bernstein polynomials …

Approximation methods for system of nonlinear Fredholm–Hammerstein integral equations

S Chakraborty, G Nelakanti - Computational and Applied Mathematics, 2021 - Springer
In this article, we apply projection methods and their iterated versions to approximate the
solution of system of Fredholm–Hammerstein integral equations with both smooth and …

Superconvergence of system of Volterra integral equations by spectral approximation method

S Chakraborty, G Nelakanti - Applied Mathematics and Computation, 2023 - Elsevier
In this article, we apply Jacobi spectral Galerkin, multi-Galerkin methods and their iterated
versions to approximate the system of Volterra integral equations for smooth as well as …

Approximation methods for system of linear Fredholm integral equations of second kind

S Chakraborty, K Kant, G Nelakanti - Applied Mathematics and …, 2021 - Elsevier
In this paper, Galerkin, multi-Galerkin methods and their iterated versions are developed for
solving the system of linear Fredholm integral equations of the second kind for both smooth …

Convergence analysis of Galerkin and multi-Galerkin methods for nonlinear-Hammerstein integral equations on the half-line using Laguerre polynomials

N Nahid, G Nelakanti - International Journal of Computer …, 2022 - Taylor & Francis
In this paper, we consider Galerkin and multi-Galerkin methods and their iterated versions
for solving the nonlinear Hammerstein-type integral equation on the half-line with sufficiently …

Discrete Legendre spectral methods for Hammerstein type weakly singular nonlinear Fredholm integral equations

M Mandal, K Kant, G Nelakanti - International Journal of Computer …, 2021 - Taylor & Francis
In this article, we study the discrete version of Legendre spectral and iterated Legendre
spectral techniques to solve the second kind Hammerstein type weakly singular integral …