Results 101 to 110 of about 3,037 (220)
Solution of Integral Equation using Second and Third Order B-Spline Wavelets [PDF]
It was proven that semi-orthogonal wavelets approximate the solution of integral equation very finely over the orthogonal wavelets Here we used the compactly supported semi-orthogonal B-spline wavelets generated in our paper Compactly Supported B ...
Kanchan Lata Gupta +3 more
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Nonlinear Fredholm-Volterra Integral Equation and its Numerical Solutions with Quadrature Methods [PDF]
, 2013 In this work, the existence and uniqueness of solution of the nonlinear Fredholm-Volterra integral equation (NF-VIE), with continuous kernels, are discussed and proved in the space L2(Ω)—C(0,T). The Fredholm integral term (FIT) is considered in ...
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Convergence analysis of deep ReLU networks for solving integral equations
Machine Learning: Science and TechnologyThis 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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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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Existence and Stability Analysis of Nonlinear Volterra-Fredholm Integral Equations
Proceedings of the International Conference on Applied Innovations in ITThe aim of this paper is to prove the existence and uniqueness of a solution for a Volterra-Fredholm nonlinear integral equation in two variables under certain conditions, for example, Using the Lipschitz condition with Banach's space contraction ...
Shahab A. Hassan +2 more
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FREDHOLM INTEGRAL EQUATION WITH CONVOLUTION OPERATOR [PDF]
Представлено решение интегрального уравнения Фредгольма второго рода на отрезке [0, z] в пространстве L2[0, z], интегральным ядром которого является преобразование свертки.It is presented the solution of the Fredholm integral equation of second kind on ...
Вирченко Ю. П. +1 more
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On the Convergence of the Approximate Solution to the Optimization Problem for Oscillatory Processes
Қарағанды университетінің хабаршысы. Математика сериясыThis 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 +3 more
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Fredholm integral equation in composed-cone metric spaces
Boundary Value ProblemsThe 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 +3 more
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Simple Two-Sided Convergence Method for a Special Boundary Value Problem with Retarded Argument
AxiomsThis 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 +2 more
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Fredholm and Volterra Integral Equations
Journal of Arts, Literature, Humanities and Social SciencesWe 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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