کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4636217 1340720 2006 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Representation of the exact solution and a stability analysis on the Fredholm integral equation of the first kind in reproducing kernel space
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Representation of the exact solution and a stability analysis on the Fredholm integral equation of the first kind in reproducing kernel space
چکیده انگلیسی

In this paper, a new method is given in order to solve an ill-posed problem on Fredholm integral equation of the first kind. The representation of the exact solution is given and the stability of the solution on Fredholm integral equation of the first kind is discussed in the reproducing kernel space. By the discussions, a conclusion is obtained the stability problem is a well-posed problem in the reproducing kernel space, namely, the measurement errors of the experimental data can not result in unbounded errors of the exact solution. The numerical experiment shows that the new method given in the paper is valid.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 182, Issue 2, 15 November 2006, Pages 1608–1614
نویسندگان
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