کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4640238 1341268 2011 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The approximate solution of a class of Fredholm integral equations with a weakly singular kernel
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
The approximate solution of a class of Fredholm integral equations with a weakly singular kernel
چکیده انگلیسی

A method for finding the numerical solution of a weakly singular Fredholm integral equation of the second kind is presented. The Taylor series is used to remove singularity and Legendre polynomials are used as a basis. Furthermore, the Legendre function of the second kind is used to remove singularity in the Cauchy type integral equation. The integrals that appear in this method are computed in terms of gamma and beta functions and some of these integrals are computed in the Cauchy principal value sense without using numerical quadratures. Four examples are given to show the accuracy of the method.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 235, Issue 5, 1 January 2011, Pages 1148–1159
نویسندگان
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