AN APPROXIMATE SOLUTION OF HYPERSINGULAR AND SINGULAR INTEGRAL EQUATIONS

Samah M Dardery; Mohamed M Allan

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AN APPROXIMATE SOLUTION OF HYPERSINGULAR AND SINGULAR INTEGRAL EQUATIONS

机译：超奇异和奇异积分方程的近似解

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摘要

This paper is devoted to study the approximate solution of hypersingular and singular integral equations by means of chebyshev polynomial of second kind. Some examples are presented to illustrate the method.

机译：本文致力于利用第二类切比雪夫多项式研究超奇异和奇异积分方程的近似解。给出了一些例子来说明该方法。

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《Canadian Journal of Pure and Applied Sciences》 |2011年第3期|共8页
作者
Samah M Dardery; Mohamed M Allan;
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1. Approximate Solution of a Complete Singular Integral Equation of the First Kind with a Fixed Hypersingularity by the Overlapping Method [J] . A. F. Matveev, R. S. Belorozov Differential equations: A translation of differensial'nye uraveniya . 2008,第9期

机译：具有固定超奇点的第一类完全奇异积分方程的重叠法的近似解。
2. An Approximate Solution of a Singular Integral Equation of Aerodynamics with a Fixed Hypersingularity [J] . A. F. Matveev, A. A. Matveeva Differential equations: A translation of differensial'nye uraveniya . 2003,第9期

机译：固定过度的空气动力学奇异积分方程的近似解
3. Nearly singular approximations of CPV integrals with end- and corner-singularities for the numerical solution of hypersingular boundary integral equations [J] . Hang Ma, Norio Kamiya Engineering analysis with boundary elements . 2003,第6期

机译：超奇异边界积分方程数值解的CPV积分具有奇异的端和角奇点近似
4. Approximate Solutions of a Hypersingular Boundary Integral Equation [C] . Lihua Mu, Hong Du, Jihong Shen International Conference on Information and Computing Science;ICIC '09 . 2009

机译：超奇异边界积分方程的近似解
5. The solution of hypersingular integral equations with applications in acoustics and fracture mechanics [D] . St.John, Richard S. 1998

机译：超奇异积分方程的解及其在声学和断裂力学中的应用
6. Approximate Solution of Urysohn Integral Equations Using the Adomian Decomposition Method [O] . Randhir Singh, Gnaneshwar Nelakanti, Jitendra Kumar -1

机译：用Adomian分解法近似求解Urysohn积分方程
7. Approximate solution for a class of hypersingular integral equations [O] . Mandal B.N., Bera G.H. 2006

机译：一类超奇异积分方程的近似解
8. Approximate solution of system of singular integral equations [R] . Erdogan, F. 1968

机译：奇异积分方程组的近似解

AN APPROXIMATE SOLUTION OF HYPERSINGULAR AND SINGULAR INTEGRAL EQUATIONS

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