Results 11 to 20 of about 18,920 (215)

Toeplitz Matrix Method and Nonlinear Volterra–Fredholm Integral Equation With Hilbert Kernel

Computational and Mathematical Methods
This work emphasizes the investigation of the solution to the nonlinear Volterra–Fredholm integral equation (NV-FIE) and the necessary conditions for a unique solution.
Sameeha Ali Raad, Ahlam Yahya Alabdali
doaj   +2 more sources

Analyze Second-Order PDEs Using the Volterra–Fredholm Integral Equation

Journal of Function Spaces
In this study, we propose a novel approach to address a particular second-order partial differential equation along with its boundary value conditions (SPDEs). In this process, we transfer the SPDEs problem into Volterra–Fredholm integral equation (VFIE),
Choonkil Park, Javad Shokri
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An Algorithm for Solving Phase-Lag Nonlinear Mixed Integral Equation With Discontinuous Generalized Kernel

Advances in Mathematical Physics
In this work, a nonlinear fractional integrodifferential equation (NFIo-DE) with discontinuous generalized kernel in position and time is explored in space L2Ω×C0,T ...
Abeer M. Al-Bugami, M. A. Abdou
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Solving Volterra-Fredholm integral equations by natural cubic spline function [PDF]

Қарағанды университетінің хабаршысы. Математика сериясы, 2023
Using the natural cubic spline function, this paper finds the numerical solution of Volterra-Fredholm integral equations of the second kind. The proposed method is based on employing the natural cubic spline function of the unknown function at an ...
S.H. Salim, K.H.F. Jwamer, R.K. Saeed
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Homotopy Analysis Method to Solve Two-Dimensional Nonlinear Volterra-Fredholm Fuzzy Integral Equations

Fractal and Fractional, 2020
The main goal of the paper is to present an approximate method for solving of a two-dimensional nonlinear Volterra-Fredholm fuzzy integral equation (2D-NVFFIE). It is applied the homotopy analysis method (HAM).
Atanaska Georgieva, Snezhana Hristova
doaj   +1 more source

ON VOLTERRA-FREDHOLM INTEGRAL EQUATION IN TWO VARIABLES

Demonstratio Mathematica, 2007
B. Pachpatte
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Regularized Asymptotic Solutions of a Singularly Perturbed Fredholm Equation with a Rapidly Varying Kernel and a Rapidly Oscillating Inhomogeneity

Axioms, 2022
This article investigates an equation with a rapidly oscillating inhomogeneity and with a rapidly decreasing kernel of an integral operator of Fredholm type.
Dana Bibulova, Burkhan Kalimbetov, Valeriy Safonov   +2 more
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Numerical Solution of the Fredholm and Volterra Integral Equations by Using Modified Bernstein–Kantorovich Operators

Mathematics, 2021
The main aim of this paper is to numerically solve the first kind linear Fredholm and Volterra integral equations by using Modified Bernstein–Kantorovich operators.
Suzan Cival Buranay, Mehmet Ali Özarslan, Sara Safarzadeh Falahhesar   +2 more
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Numerical Solution of Volterra-Fredholm Integral Equations with Hosoya Polynomials

Mathematical Methods in the Applied Sciences, 2021
In this study, Volterra-Fredholm integral equation is solved by Hosoya Polynomials. The solutions obtained with these methods were compared on the figure and table. And error analysis was done. Matlab programming language has been used to obtain conclusitions, tables and error analysis within a certain algorithm.
Merve Zeynep Geçmen, Ercan Çelik
openaire   +4 more sources

On the Wavelet Collocation Method for Solving Fractional Fredholm Integro-Differential Equations

Mathematics, 2022
An efficient algorithm is proposed to find an approximate solution via the wavelet collocation method for the fractional Fredholm integro-differential equations (FFIDEs).
Haifa Bin Jebreen, Ioannis Dassios
doaj   +1 more source