Solving singular integral equations by using orthogonal polynomials
نویسنده
چکیده مقاله:
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.
منابع مشابه
A Direct Method for Numerically Solving Integral Equations System Using Orthogonal Triangular Functions
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عنوان ژورنال
دوره 6 شماره 4
صفحات 411- 425
تاریخ انتشار 2018-10-01
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