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 …
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 …
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 …
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
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 …
differential equations of second kind with smooth kernels with less computational complexity …
On the numerical solution of Volterra integral equations on equispaced nodes
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 …
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 …
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 …
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 …
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 …
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
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 …
spectral techniques to solve the second kind Hammerstein type weakly singular integral …