کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1710311 1012884 2008 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Approximate solution of the Fredholm integral equation of the first kind in a reproducing kernel Hilbert space
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
Approximate solution of the Fredholm integral equation of the first kind in a reproducing kernel Hilbert space
چکیده انگلیسی

An approach for solving Fredholm integral equations of the first kind is proposed for in a reproducing kernel Hilbert space (RKHS). The interest in this problem is strongly motivated by applications to actual prospecting. In many applications one is puzzled by an ill-posed problem in space C[a,b]C[a,b] or L2[a,b]L2[a,b], namely, measurements of the experimental data can result in unbounded errors of solutions of the equation. In this work, the representation of solutions for Fredholm integral equations of the first kind is obtained if there are solutions and the stability of solutions is discussed in RKHS. At the same time, a conclusion is obtained that approximate solutions are also stable with respect to ‖⋅‖∞‖⋅‖∞ or ‖⋅‖L2‖⋅‖L2 in RKHS. A numerical experiment shows that the method given in the work is valid.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics Letters - Volume 21, Issue 6, June 2008, Pages 617–623
نویسندگان
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