کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4635718 1340714 2006 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Convergence of numerical solution of the Fredholm integral equation of the first kind with degenerate kernel
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Convergence of numerical solution of the Fredholm integral equation of the first kind with degenerate kernel
چکیده انگلیسی

Fredholm integral equation of the first kind is one of the ill posed problems since in the operator form of integral equation the integral operator does not have bounded inverse. In this article we consider integral equation of the first kind with degenerate kernel which has bounded inverse. We use collocation method by wavelet families for numerical solving of the equation. Then we prove the convergence for the numerical method. We use conjugate gradiant method for solving the system of linear equations after discretizing the integral equation. For showing efficiency of the method some examples are used.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 181, Issue 2, 15 October 2006, Pages 1000–1007
نویسندگان
, , ,