کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1140757 956740 2010 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The use of Sherman–Morrison formula in the solution of Fredholm integral equation of second kind
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
The use of Sherman–Morrison formula in the solution of Fredholm integral equation of second kind
چکیده انگلیسی

We consider a constructive method for the solution of Fredholm integral equations of second kind. This method is based on a simple generalization of the well-known Sherman–Morrison formula to the infinite dimensional case. In particular, this method constructs a sequence of functions, that converges to the exact solution of the integral equation under consideration. A formal proof of this convergence result is provided for the case of Fredholm integral equations with L2 integral kernel. Finally, a boundary value problem for the Laplace equation is considered as an example of the application of the proposed method.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematics and Computers in Simulation - Volume 81, Issue 3, November 2010, Pages 693–704
نویسندگان
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