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Solving singular integral equations by using orthogonal polynomials | ||
| Computational Methods for Differential Equations | ||
| مقاله 2، دوره 6، شماره 4، دی 2018، صفحه 411-425 اصل مقاله (185.09 K) | ||
| نوع مقاله: Research Paper | ||
| نویسنده | ||
| Samad Ahdiaghdam* | ||
| Department of Mathematics, Marand Branch, Islamic Azad University, Marand, Iran | ||
| چکیده | ||
| In this paper, a special technique is studied by using the orthogonal Chebyshev polynomials to get approximate solutions for singular and hyper-singular integral equations of the first kind. A singular integral equation is converted to a system of algebraic equations based on using special properties of Chebyshev series. The error bounds are also stated for the regular part of approximate solution of singular integral equations. The efficiency of the method is illustrated through some examples. | ||
| کلیدواژهها | ||
| Singular integral equations؛ Chebyshev systems؛ Approximate quadratures | ||
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