منابع مشابه
Approximate solution of dual integral equations
We study dual integral equations which appear in formulation of the potential distribution of an electrified plate with mixed boundary conditions. These equations will be converted to a system of singular integral equations with Cauchy type kernels. Using Chebyshev polynomials, we propose a method to approximate the solution of Cauchy type singular integral equation which will ...
متن کاملDual Integral Equations—revisited
Dual integral equations with trigonometric kernel are reinvestigated here for a solution. The behaviour of one of the integrals at the end points of the interval complementary to the one in which it is defined plays the key role in determining the solution of the dual integral equations. The solution of the dual integral equations is then applied to find an exact solution of the water wave scat...
متن کاملapproximate solution of dual integral equations
we study dual integral equations which appear in formulation of the potential distribution of an electrified plate with mixed boundary conditions. these equations will be converted to a system of singular integral equations with cauchy type kernels. using chebyshev polynomials, we propose a method to approximate the solution of cauchy type singular integral equation which will ...
متن کاملCoupled Integral Equations Approach in the Solution of Luikov Equations with Microwave Effect
The objective of this study is to present a mathematical modeling and solution approach for the drying process of spheroidal solids with the application of microwave in capillary porous media based on the Luikov equations, composed of a system of linear and coupled partial differential equations arising from the energy, mass and pressure balances inside the solid matrix. Additionally, the power...
متن کاملSolutions of Some Dual Integral Equations
For certain dual integral equations involving trigonometric functions and the Bessel function of zeroth order as their kernels solution methods are described. These methods exploit the fact that, under certain circumstances of practical importance, one of the integrals of each set of the dual integral equations under consideration possesses a asquare-rooto singularity at the aturning pointo, i....
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ژورنال
عنوان ژورنال: Quarterly of Applied Mathematics
سال: 1968
ISSN: 0033-569X,1552-4485
DOI: 10.1090/qam/226328