On the second-order neutral Volterra integro-differential equation and its numerical solution

I Amirali, B Fedakar, GM Amiraliyev - Applied Mathematics and …, 2024 - Elsevier
In this paper, we consider an initial-value problem for a second-order neutral Volterra
integro-differential equation. First, we give the stability inequality indicating the stability of the …

A fitted operator numerical method for singularly perturbed Fredholm integro-differential equation with integral initial condition

AF Oljira, MM Woldaregay - BMC Research Notes, 2024 - Springer
Objectives In this paper, a uniformly convergent numerical scheme is proposed for solving a
singularly perturbed Fredholm integro-differential equation with an integral initial condition …

Numerical solutions for second-order neutral volterra integro-differential equations: Stability analysis and finite difference method

B Fedakar, I Amirali, ME Durmaz… - Journal of Computational …, 2025 - Elsevier
This work deals with the initial-value problem for a second-order neutral Volterra integro-
differential equation. First, we give the stability inequality indicating stability of the problem …

Exponentially Fitted Finite Difference Approximation for Singularly Perturbed Fredholm Integro-Differential Equation

M Alam, RK Pandey - arxiv preprint arxiv:2401.16379, 2024 - arxiv.org
In this paper, we concentrate on solving second-order singularly perturbed Fredholm integro-
differential equations (SPFIDEs). It is well known that solving these equations analytically is …

Adaptive spectral solution method for Fredholm integral equations of the second kind

I Abdennebi, A Rahmoune - Numerical Algorithms, 2024 - Springer
The purpose of this paper is to develop and analyze an adaptive collocation method for
Fredholm integral equations of the second kind, even if the equation exhibits localized rapid …

A computational approach to solving a second-order singularly perturbed Fredholm integro-differential equation with discontinuous source term

WS Manebo, MM Woldaregay, TG Dinka… - Numerical …, 2024 - Springer
This article introduces a numerical method to solve a singularly perturbed Fredholm integro-
differential equation of second order with a discontinuous source term. To effectively handle …

THE HOMOGENEOUS SECOND-ORDER NUMERICAL SCHEME FOR SINGULARLY PERTURBED REACTION-DIFFUSION EQUATIONS WITH INTEGRAL …

F Gurman, M Cakir - mpmma.azmiu.edu.az
This study introduces a novel second-order computational technique to effectively tackle
Volterra Fredholm integrodifferential equations, which are characterized by integral …