کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4645760 | 1342061 | 2009 | 20 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A Nyström method for a class of Fredholm integral equations of the third kind on unbounded domains
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات محاسباتی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: A Nyström method for a class of Fredholm integral equations of the third kind on unbounded domains A Nyström method for a class of Fredholm integral equations of the third kind on unbounded domains](/preview/png/4645760.png)
چکیده انگلیسی
The author proposes a numerical procedure in order to approximate the solution of a class of Fredholm integral equations of the third kind on unbounded domains. The given equation is transformed in a Fredholm integral equation of the second kind. Hence, according to the integration interval, the equation is regularized by means of a suitable one-to-one map or is transformed in a system of two Fredholm integral equations that are subsequently regularized. In both cases a Nyström method is applied, the convergence and the stability of which are proved in spaces of weighted continuous functions. Error estimates and numerical tests are also included.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Numerical Mathematics - Volume 59, Issue 12, December 2009, Pages 2970-2989
Journal: Applied Numerical Mathematics - Volume 59, Issue 12, December 2009, Pages 2970-2989