singular integral equation method
On a singular integral equation with log kernel and its application
... simple method to solve the problem ...a singular integral equation ...of singular integral equation method to solve the ...The singular integral ...
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NUMERICAL SOLUTION OF FIRST KIND SINGULAR INTEGRAL EQUATION WITH HILBERT-TYPE MULTIPLE INTEGRAL
... kind singular integral equation containing a Hilbert-type double integral over the domain [0, 2 ] [0, 2 ] π × π is ...this equation are given. The equation studied is discretized ...
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Unsteady Spillway Flows by Singular Integral Operators Method
... non-linear singular integral equation methods for the solution of fluid mechanics ...the Singular Integral Operators Method ...the singular integral equations both ...
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An improved numerical solution of the singular boundary integral equation of the compressible fluid flow around obstacles using modified shape functions
... element method is applied in order to find an improved numerical solution for a boundary value problem with a nonlinear boundary condition, namely the two-dimensional problem of the compressible fluid flow around ...
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Application of Nyström method to a Fredholm integral equation describing induction heating
... uses adaptive the Simpson quadrature. For the computa- tion of non-singular integrals of the matrix of collocation method simp3D is used. It was developed by W. Padden, Ch. Macaskill from The University of ...
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Considerations about Using Truncation Method to Treat the Singularities when Solving with Higher Order Boundary Elements the Boundary Integral Equation of the Compressible Fluid Flow
... solving singular boundary integrals big problems arise when handling the ...element method uses an exact equivalent formulation of the problem and so, when this method is applied, errors arise only ...
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Fast multipole method for singular integral equations of second kind
... equivalent integral equation. For example, the integral equations with singular kernel often arise in practical applications such as potential problems, Dirichlet problem, and radiative ...
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Iterative positive solutions for singular nonlinear fractional differential equation with integral boundary conditions
... ferential equation with integral boundary value ...iteration method [–], the properties of the Green function, and the fixed point index theory ...differential equation with integral ...
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The Combined Reproducing Kernel Method and Taylor Series for Handling Fractional Differential Equations
... kernel method is practical to solve singular or nonsingular integral equations in the reproducing kernel Hilbert space which was pre- sented by Zaremba in ...gular integral equations with ...
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Numerical Treatment of Nonlinear Volterra Fredholm Integral Equation with a Generalized Singular Kernel
... Fredholm integral equation (V-FIE) with singular kernel by utilizing the combined Laplace-Ado- mian decomposition method (LADM) was ...the method is efficient and high ...
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Solving singular integral equations by using orthogonal polynomials
... the singular integrals of Cauchy type by utilizing linear spline interpolation, modified discrete vortex and product integration ...characteristic singular integral ...numerical method to solve ...
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Kress smoothing transformation for weakly singular Fredholm integral equation of second kind
... Elliott and Pr¨ ossdorf (1995) introduce a transformation of [0,1] onto itself such that an arbitrary number of derivatives vanish at the end points 0 and 1. If the transformed kernel is dominated near the origin by a ...
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A computational method for solving weakly singular Fredholm integral equation in reproducing kernel spaces
... Fredholm integral equation with Hilbert type singu- larity ...integro-differential equation with logarithmic kernel and Kalman ker- nel with boundary values ...converted equation with ...
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Finite sine integral transform dynamic analysis of free damped orthotropic plate on elastic subgrade
... difference method, finite element method, finite strip method, integral equation method, differential quadrature element method, method of discrete singular ...
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A Regularization of Fredholm type singular integral equations
... a method to regularize first and second kind integral equations of Fredholm type with singular ...such integral equations into a second kind Fredholm’s integral equation with at ...
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II. THE BOUNDARY INTEGRAL EQUATION
... the singular boundary integral equation of the 3D compressible fluid flow around an obstacle, which uses isoparametric linear boundary elements of Lagrangean ...The singular boundary ...
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A solution with cubic boundary elements for the compressible fluid flow around obstacles
... this method, a numerical solution for the two-dimensional prob- lem of the compressible fluid flow around obstacles is ...element method has also been applied to solve this problem, but in this approach, a ...
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An analysis of electromagnetic scattering from finite-width strips
... field integral equation (EFIE) as a mathematical model is surveyed and used for modeling of the ...numerical method is then proposed to obtain the approximate numerical results for the ...
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An Integral Involving Generalized Multivariable Mittag-Leffler Function
... (1.5) Equation (1.4 ) is just a multivariable generalized formula of Mittag-Leffler function ; its various properties including differentiation,Laplace ,Beta, and Mellin transforms,and generalized hypergeometric ...
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The dual integral equations method involving heat equation with mixed boundary conditions
... F define as the value of the function at the nodes r i , i 0 , 1 ,...., n , K ( r i , y j ) are the values of K ( r , y ) at r i , y j , i , j 0 , 1 ,...., n .The quadrature –matrix technique is applied to the ...
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