Analysis of the Euler and trapezoidal discretization methods for the numerical solution of nonlinear functional Volterra integral equations of Urysohn type

S Bazm, P Lima, S Nemati - Journal of Computational and Applied …, 2021 - Elsevier
In this paper, we investigate nonlinear functional Volterra–Urysohn integral equations, a
class of nonlinear integral equations of Volterra type. The existence and uniqueness of the …

A comparative study of discretization techniques for augmented Urysohn type nonlinear functional Volterra integral equations and their convergence analysis

IA Bhat, LN Mishra - Applied Mathematics and Computation, 2024 - Elsevier
This article considers the nonlinear functional Volterra integral equation, the Urysohn type
class of nonlinear integral equations. In an approach based on the Picard iterative method …

Numerical solution of volterra functional integral equation by using cubic B‐spline scaling functions

K Maleknejad, R Mollapourasl… - Numerical Methods for …, 2014 - Wiley Online Library
In this article, we consider a class of nonlinear functional integral equations which has rather
general form and contains a lot of particular cases such as functional equations and …

Global asymptotic stability for nonlinear functional integral equation of mixed type

Z Xia - Journal of Applied Mathematics, 2013 - Wiley Online Library
The existence results of global asymptotic stability of the solution are proved for functional
integral equation of mixed type. The measure of noncompactness and the fixed‐point …