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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.

- Samah M. Dardery
- Applied Mathematics and Computation
- 2011

This paper is concerned with finding approximate solution for the singular integral equations. Relating the singular integrals to Cauchy principal-value integrals, we expand the kernel and the density function of singular integral equation by the sum of the chebyshev polynomials of the first, second, third and fourth kinds. Some numerical examples are… (More)

- M. H. Saleh, S. M. Amer, +17 authors Mohamed M. Allan
- 2014

In this paper we investigate the numerical solution of Abel's integral equations of the first and second kind by chebychev polynomials of the first ,second ,third and fourth kinds. Some numerical examples are presented to illustrate the method.

- Samah M. Dardery
- 2014

In this study, the existence and uniqueness of the solution of a class of nonlinear finite-part singular integral equations with Carleman shift preserving orientation has been investigated in the generalized Holder space () Γ ϕ H. 1. Introduction Many important problems of engineering mechanics like elasticity, plasticity, and fracture mechanics and… (More)

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