Singular Integral Equations
Solutions of singular integral equations
... SOLUTIONS OF SINGULAR INTEGRAL EQUATIONS RINA LING Department of Mathematics, California State University Los Angeles, California Received August 7, 1980.. Qualitative behavior of soluti[r] ...
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An effective method for approximating the solution of singular integral equations with Cauchy kernel type
... 3. Lagrange interpolation and Taylor series expansion In this paper, we use the idea of the interpolation by Lagrange func- tions to approximate the solution of the singular integral equations. The ...
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On the approximate solution of nonlinear singular integral equations with positive index
... There is a large literature on nonlinear singular integral equations with Hiibert and Cauchy kernel and on related nonlinear Riemann-Hilbert problems for analytic functions, cf.. the mon[r] ...
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Mathematical Modeling of Multi-Element Antenna Arrays with Chiral Metamaterials Substrates Using Singular Integral Equations
... To conclude, his study presents the method of electrodynamic analysis of multi-element strip MEAA based on chiral metamaterials. A system of singular integral equations with respect to unknown ...
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On the Semi-bounded Solution of Cauchy Type Singular Integral Equations of the First Kind
... The Chebyshev orthogonal polynomials of the third and fourth kinds are used to approximate the unknown density function which is bounded at the end point x = −1, and the known force function, respectively, for solving ...
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On the Existence and Uniqueness of Holder Solutions of Nonlinear Singular Integral Equations with Carleman Shift
... of singular integral equations (SIE) naturally stimulated the study of singular integral equations with shift ...nonlinear singular integral equations (NSIE) ...
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1.Introduction In recent years, singular integral equations arise in many problems of
... years, singular integral equations arise in many problems of mathematical physics, such as the theory of elasticity, viscoelasticity, ...as integral equations of the first, second and ...
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Singular integral equations of convolution type with Hilbert kernel and a discrete jump problem
... of singular integral equations of convolution type with Hilbert kernel and ...of equations such as the equations of dual type with periodicity and Hilbert kernel, the Wiener-Hopf type ...
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On a Class of Nonlinear Finite-Part Singular Integral Equations with Carleman Shift
... non-linear singular integral equation or non-linear finite-part singular integral ...non-linear singular integral equations and non-linear finite-part singular ...
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Solving singular integral equations by using orthogonal polynomials
... for singular and hyper-singular integral equations of the first ...A singular integral equation is converted to a system of algebraic equations based on using special ...
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Singular Integral Equations in Electromagnetic Waves Reflection Modeling
... [1] A. S. Ilinskiy, T. N. Galishnikova, “Singular Integral Equations in the Wave Scattering Problems”. Proc. Of URSI Commission B International Symposium on Electromagnetic Theory (EMTS 2016), 14-18 ...
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Chebyshev Polynomials for Solving a Class of Singular Integral Equations
... of singular integral equations by using Chebyshev polyno- mials of first, second, third and fourth kind to obtain systems of linear algebraic equations, these systems are solved ...solving ...
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A Regularization of Fredholm type singular integral equations
... 1. Introduction. As many mathematical models in applied problems in physics and engineering lead to a first or second kind Fredholm’s integral equation with singular kernel [1], considering this problem for ...
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Fast multipole method for singular integral equations of second kind
... In this paper, we explore collocation methods for a singular Fredholm integral equation of the second kind and utilize the FMM to improve the efficiency of algorithm. Based on the multipole expansion of ...
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An effective collocation technique to solve the singular Fredholm integral equations with Cauchy kernel
... type singular integral equation is well known. This kind of equations is applied in many branches of engineering and science like fracture mechanics [], aerodynamics [] and occurs in a variety of ...
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Finite part singular integral approximations in Hilbert spaces
... finite-part singular integrals defined over a smooth open or closed ...finite-part singular integral equations of the first and the second kind and has applied them to some important problems of ...
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New Inversion Formulas for the L2-Transform with Applications
... homogeneous singular integral ...various integral transforms can be obtained and some other type of singular integral equations with other type of kernels (Bessel’s -kernels) can ...
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The Combined Reproducing Kernel Method and Taylor Series for Handling Fractional Differential Equations
... tively. Note that as α approaches 1, the numerical solution converges to the exact solution. i.e. in the limit, the solution of the fractional differential equations approaches to that of the integer-order ...
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On a weakly singular quadratic integral equations of Volterra type in Banach algebras
... In this paper, we present existence and uniqueness theorems of nonnegative, asymptotically stable, and ultimately nondecreasing solutions for weakly singular quadratic integral equations of Volterra ...
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A family of singular ordinary differential equations of the third order with an integral boundary condition
... of singular ordinary dif- ferential equations of the third order with two initial conditions and an integral boundary condition ...Volterra integral equation ...these equations which ...
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