Results 71 to 80 of about 1,063 (184)

The Study of Triple Integral Equations with Generalized Legendre Functions

Abstract and Applied Analysis, 2008
A method is developed for solutions of two sets of triple integral equations involving associated Legendre functions of imaginary arguments. The solution of each set of triple integral equations involving associated Legendre functions is reduced to a ...
B. M. Singh, J. Rokne, R. S. Dhaliwal
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Convergence analysis of deep ReLU networks for solving integral equations

Machine Learning: Science and Technology
This paper proposes a deep rectified linear unit (ReLU) neural network framework for approximating solutions to linear and nonlinear integral equations, encompassing the Urysohn equation, Hammerstein equation, and weakly singular second-kind Fredholm ...
Min Zhou, Xin Tan
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On the Convergence of the Approximate Solution to the Optimization Problem for Oscillatory Processes

Қарағанды университетінің хабаршысы. Математика сериясы
This article addresses the non-linear optimization problem of oscillatory processes governed by partial integro-differential equations involving a Fredholm integral operator. A distinctive feature of the problem is that both the objective functional and
E.F. Abdyldaeva, A. Kerimbekov, T.K. Yuldashev, M. Kamali   +3 more
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Application of Nyström method to a Fredholm integral equation describing induction heating

EPJ Web of Conferences, 2015
An induction heating problem can be described by a Fredholm Integral Equation of the second kind. The equation is used to compute the eddy current of density. One method for solving such an equation is the Nyström method. It is based on the approximation
Rak Josef
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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
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Fredholm integral equation in composed-cone metric spaces

Boundary Value Problems
The current paper introduces a novel generalization of cone metric spaces called type I and type II composed cone metric spaces. Therefore, examples of a type I and type II composed cone metric space, which is not a cone metric space, are given.
Anas A. Hijab, Laith K. Shaakir, Sarah Aljohani, Nabil Mlaiki   +3 more
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Fredholm type integral equations

, 2020
The aim of this thesis is to provide a comprehensive study on Fredholm Integral Equations and the methods to find exact solutions. We also seek to present some effective methods to find the exact solutions for linear and nonlinear Fredholm Integral Equations.
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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
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Fredholm and Volterra Integral Equations

Journal of Arts, Literature, Humanities and Social Sciences
We will focus on Fredholm and Volterra integral equations. We have examined the development of integral equations that has significant applicability in physical problems. A multitude of initial and boundary value issues can be converted into integral equations. Mathematical physics problems are typically regulated by integral equations.
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A Projection Method for Solving Nonlinear Volterra-Fredholm Integral Equations using Legendre Hybrid Functions

Journal of Mathematical Extension, 2013
Since various problems in science and engineering fields can be modeled by nonlinear Volterra-Fredholm integral equations, the main focus of this study is to present an effective numerical method for solving them.
M. Roodaki, Z. JafariBehbahani
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