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Determination of Stresses in an Anisotropic Strip with Holes by Using Singular Integral Equations and Green’s Solution
By the method of successive approximations (Schwartz algorithm) and the Fourier integral transform, we construct a Green-type solution for an...
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On Approximate Solution of One Class of Singular Integro-Differential Equations
AbstractA linear integro-differential equation with a singular differential operator in the principal part is studied. For its approximate solution...
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Recovery of the solution of the singular heat equation from measurement data
The problem of recovery of the solution of the singular heat equation over the positive part of the real line at a given time is solved from...
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Study of the Asymptotic Properties of the Solution to a Problem with a Parameter for the Sturm–Liouville Operator with a Singular Potential
AbstractThe Sturm–Liouville operator with a singular potential is defined on an interval of the real line. Transmission conditions are specified at...
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Galerkin spectral and finite difference methods for the solution of fourth-order time fractional partial integro-differential equation with a weakly singular kernel
In this paper, we propose an efficient numerical algorithm for the solution of fourth-order time fractional partial integro-differential equation...
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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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Solution of linear and nonlinear singular value problems using operational matrix of integration of Fibonacci wavelets
This article introduces a proficient method for solving both linear and nonlinear second-order singular value differential equations within the...
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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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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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Singular solution of the Hartree equation with a delta potential
The Cauchy problem is considered for the Hartree equation with a delta potential in three dimensions. We prove existence and uniqueness of solutions...
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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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Solution of Dual Boundary Layer Singular Perturbation Problem by Septic Hermite Collocation Technique
In the present work the non-homogeneous self-adjoint singularly perturbed boundary value problem is solved using septic Hermite collocation method....
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ON QUALITATIVE PROPERTIES OF A SOLUTION OF ONE CLASS SINGULAR INTEGRAL EQUATIONS ON THE WHOLE LINE WITH ODD NONLINEARITY
A class of nonlinear singular integral equations on the whole line is considered. This class of equations for specific representations of...
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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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Singular solutions of semilinear elliptic equations with supercritical growth on Riemannian manifolds
In this paper, we shall discuss singular solutions of semilinear elliptic equations with general supercritical growth on spherically symmetric...