Singular integral equation
Singular integral equation involving a multivariable analog of Mittag Leffler function
... contour integral representation for the multi- variable polynomials given in ...order integral of the generalized mul- tivariable Mittag-Leffler ...a singular integral equation with E (γ ...
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On a singular integral equation with log kernel and its application
... a singular integral equation ...of singular integral equation method to solve the ...The singular integral equations arising in [2] consist of Cauchy kernel and a ...
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The solution of a singular integral equation with some applications in potential theory
... An analytical solution is derived for a singular integral equation which governs some twodimensional potential boundary value problems in a region exterior to n-infinite co-axial circula[r] ...
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On the Singular Integral Equation Connected with the Stokes Gravity Waves
... the singular integral equation for the Stokes free boundary was obtained ...The integral equation is simplified and the exis-tence of the solution is proved by means of Muskhelishvili ...
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An effective method for approximating the solution of singular integral equations with Cauchy kernel type
... In the present paper, Lagrange functions and truncated Taylor series expansion are applied to solve the Cauchy singular integral equation. Gauss Legendre quadrature nodes were used as the Lagrange ...
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The null field approach to diffraction theory
... invoking the optical extinction theore'm extended boundary condition the conventional singular integral equation for the density of reradiating sources existing in the surface of the sca[r] ...
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II. THE BOUNDARY INTEGRAL EQUATION
... the singular integral equation resulting as an application of the indirect boundary element method with sources distribution to the three-dimensional problem of a compressible fluid flow past an ...
5
On the stationary vibrations of a rectangular plate subjected to stress prescribed partially at the circumference
... Using the finite Fourier transformation, the problem is converted to a singular integral equation that in turn can be reduced to an infinite system of algebraic equations.. The truncatio[r] ...
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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 properties ...
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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
... Two techniques can be used to get the boundary formulation of the problem: the direct and the indirect technique. In paper [5] a singular integral equation is obtained by applying the direct ...
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Mode Stresses for the Interaction between Straight and Curved Cracks Problem in Plane Elasticity
... of integral equations have been developed to formulate the single crack problem such as singular integral equation [1], Fredholm integral equation [2], hypersingular ...
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A solution with cubic boundary elements for the compressible fluid flow around obstacles
... boundary integral equation, equivalent to the mathematical model of the problem to solve, by using finite elements named boundary ...boundary integral formulation is obtained, and usually it ...
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Finite sine integral transform dynamic analysis of free damped orthotropic plate on elastic subgrade
... In this study, the dynamic behaviour of orthotropic type of plate, without loading but with effect of damping, was analysed. The mathematical model governing such phenomenon was evaluated using finite sine ...
9
Nystrom method for solving non-uniquely solvable interior Riemann-Hilbert problem on region with corners via integral equation
... the integral equation method, and the integral equation that has been derived are classified as a linear Fredholm integral equation of the second kind with continuous kernels on ...
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ENHANCED PLANTED(ℓ,D) MOTIF SEARCH PRUNE ALGORITHM FOR PARALLEL ENVIRONMENT
... Abel integral equations to a system of algebraic equations and applied the Haar wavelet operational matrix to fractional ...and singular solutions are included to demonstrate the validity and applicability ...
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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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Some Inequalities for a Singular Integral
... The main aim of this paper is to point out various estimates for I p ( f ) using an approach which employs the removal of the singularity and the utilisation of the trapezoidal rule.. So[r] ...
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A Regularization of Fredholm type singular integral equations
... Now as it is clear, the integral term on the right-hand side of (1.1) is at most weakly singular. Using this regularized formula we are going to solve some important first and second kind Fredholm’s ...
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Nontrivial solutions for an integral boundary value problem involving Riemann–Liouville fractional derivatives
... therein. Integral boundary conditions arise in thermal con- duction problems, semiconductor problems and hydrodynamic problems (see [11]) and we refer the reader to [10, 11, 18, 19, 26, 28–30, 33, 34, 39, 43, ...
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Existence of positive solutions for a singular nonlinear fractional differential equation with integral boundary conditions involving fractional derivatives
... Recently, fractional differential equations have drawn more and more attention of the re- search community due to their numerous applications in various fields of science such as engineering, chemistry, physics, mechanics, ...
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