Results 91 to 100 of about 2,862 (195)

The study of the solution of a Fredholm-Volterra integral equation by Picard operators [PDF]

Studia Universitatis Babes-Bolyai Matematica, 2019
In this paper we will use the Picard operators technique, in order to establish the existence and uniqueness, data dependence and Gronwall-type results for the solutions of a Fredholm-Volterra functional-integral equation. The paper ends with a result of the Ulam-Hyers stability of this integral equation.
openaire   +1 more source

An Analytical‐Numerical Method for the Solution of Nonlinear Fractional Fredholm Integro‐Differential Equations With Logarithmic Weakly Singular Kernel

Journal of Mathematics, Volume 2025, Issue 1, 2025.
In this work, we investigate a numerical method for solving nonlinear fractional Fredholm integro‐differential equations with logarithmic weakly singular kernels. Since the direct solution of these equations using classical methods results in low accuracy and high computational cost due to the singular behavior of the exact solution at both endpoints ...
Ali Edham Awadh, Esmaeil Najafi, Guotao Wang   +2 more
wiley   +1 more source

An Analytical Approach to Solve a System of 2D Nonlinear Volterra–Fredholm Integral Equations on Nonrectangular Domains Based on Radial Basis Functions

Journal of Mathematics, Volume 2025, Issue 1, 2025.
We aim to introduce a numerical method to solve a system of two‐dimensional nonlinear integral equations of Volterra–Fredholm type with the second kind on nonrectangular domains. The method estimates the solutions of the system by a discrete collocation method based on radial basis functions constructed on scattered points.
Mohsen Jalalian, Manochehr Kazemi, Mohammad Esmael Samei, Chang Phang   +3 more
wiley   +1 more source

A homotopy perturbation algorithm to solve a system of Fredholm–Volterra type integral equations

Mathematical and Computer Modelling, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Solution and Error Analysis of Two Dimensional Fredholm-Volterra Integral Equations Using Piecewise Constant Functions

American Journal of Computational and Applied Mathematics, 2012
In this paper, the piecewise constant Block-Pulse functions and their operational matrices of integration have directly been used to solve a two-dimensional Fredholm-Volterra integral equation of second kind. This method presents a computational technique through converting this integral equation into a system of linear equations which can be easily ...
K. Maleknejad, K. Mahdiani
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Existence of solutions for mixed Volterra-Fredholm integral equations

Electronic Journal of Differential Equations, 2012
In this article, we give some results concerning the continuity of the nonlinear Volterra and Fredholm integral operators on the space $L^{1}[0,infty)$.
Asadollah Aghajani, Yaghoub Jalilian, Kishin Sadarangani   +2 more
doaj  

Solving Mixed Volterra - Fredholm Integral Equation (MVFIE) by Designing Neural Network

مجلة بغداد للعلوم, 2019
In this paper, we focus on designing feed forward neural network (FFNN) for solving Mixed Volterra – Fredholm Integral Equations (MVFIEs) of second kind in 2–dimensions.
Al-Saif et al.
doaj   +1 more source

Simple Two-Sided Convergence Method for a Special Boundary Value Problem with Retarded Argument

Axioms
This study utilizes approximation techniques to address a boundary value problem involving a differential equation with a delayed argument. The problem is approached through analytical techniques by transforming it firstly into an equivalent integral ...
Arzu Aykut, Ercan Çelik, İsrafil Okumuş   +2 more
doaj   +1 more source

Solving singularly perturbed fredholm integro-differential equation using exact finite difference method. [PDF]

BMC Res Notes, 2023
Badeye SR, Woldaregay MM, Dinka TG.
europepmc   +1 more source

Approximate solutions to several classes of Volterra and Fredholm integral equations using the neural network algorithm based on the sine-cosine basis function and extreme learning machine. [PDF]

Front Comput Neurosci, 2023
Lu Y, Zhang S, Weng F, Sun H.
europepmc   +1 more source