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Uniform Aproximations of Solutions to a Strongly Singular Integral Equation of the First Kind
AbstractThe article is devoted to uniform approximations of the solution of a periodic strongly singular integral equation of the first kind. We note...
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Picard Approximation of a Singular Backward Stochastic Nonlinear Volterra Integral Equation
In this paper we prove that Picard iterations of BSDEs with globally Lipschitz continuous nonlinearities converge exponentially fast to the solution....
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Boubaker operational matrix method for solving fractional weakly singular two-dimensional partial Volterra integral equation
The aim of the present paper is to suggest a novel technique based on the operational matrix approach for solving a fractional weakly singular...
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Singular integral equation for an edge crack originates at the interface of two bonded half-planes
This paper addresses an edge crack problem that originates at the interface of two bonded half-planes. The crack undergoes constant shear stress. We...
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Approximate Methods for Solving Degenerate Singular Integral Equations
AbstractSingular integral equations in degenerate cases describe many processes in natural science and technology. The theory of these equations has...
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Integral Equations of Volterra Typewith Two Boundary and One Interior Singular Point
AbstractExplicit solutions of model and nonmodel integral equations of Volterra type with two boundary and one interior singular point are obtained,...
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Approximate Solution of a Dominant Singular Integral Equation with Conjugation
We use the method of successive approximations and Faber polynomials to obtain an approximate solution of a dominant singular integral equation with...
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A novel method with error analysis for the numerical solution of a logarithmic singular Fredholm integral equation
This article attempts to investigate the numerical solution of a weakly singular Fredholm integral equation of the first kind, involving a...
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Singular Integral Equations
The construction of exact solutions for radiative transfer equations is always based on the transformation of these equations into new ones, for...
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Theoretical and numerical analysis of a first-kind linear Volterra functional integral equation with weakly singular kernel and vanishing delay
In this study, we investigate the existence and uniqueness of a solution for a first-kind linear Volterra functional integral equation with...
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Singularity separation Chebyshev collocation method for weakly singular Volterra integral equations of the second kind
Volterra integral equation of the second kind with weakly singular kernel usually exhibits singular behavior at the origin, which deteriorates the...
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On Singular Heat Equation
AbstractIn physics, the singular heat equation with the Bessel operator is used to explain the basic process of heat transport in a substance with...
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A new approach of shifted Jacobi spectral Galerkin methods (SJSGM) for weakly singular Fredholm integral equation with non-smooth solution
This article presents a new approach of shifted Jacobi spectral Galerkin methods to solve weakly singular Fredholm integral equations with non-smooth...
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Numerical solution of a linear fuzzy Volterra integral equation of the second kind with weakly singular kernels
In this paper, we consider a linear fuzzy Volterra integral equation of the second kind with a weakly singular kernel which may change sign in the...
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Stability Analysis of a Simple Discretization Method for a Class of Strongly Singular Integral Equations
Motivated by the discrete dipole approximation (DDA) for the scattering of electromagnetic waves by a dielectric obstacle that can be considered as a...
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ON A SINGULAR HEAT EQUATION AND PARABOLIC BESSEL POTENTIAL
The main goal of this paper is to analyze the solution to the singular heat equation. A singular heat equation is the parabolic equation, where the...
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Approximate Methods for Solving Singular Integral Equations in Exceptional Cases
AbstractMultiple processes in physics and technology are simulated using singular integral equations in exceptional cases, which necessitates...
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Numerical Solution of a Weakly Singular Integral Equation by the Method of Orthogonal Polynomials in Various Function Classes
AbstractWe consider a singular integral equation with a logarithmic singularity that is used in the mathematical model of the scattering of...
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On solving 2D weakly singular Volterra integral equations of the second kind
In this paper, we present a semi-analytical approach to solving two-dimensional Volterra integral equations of the second kind which include weakly...
