کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4629148 1340574 2013 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Nyström method for Fredholm integral equations of the second kind in two variables on a triangle
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Nyström method for Fredholm integral equations of the second kind in two variables on a triangle
چکیده انگلیسی

The paper deals with the approximation of the solution of the following bivariate Fredholm integral equationf(y)-μ∫DK(x,y)f(x)ω∼(x)dx=g(y),y∈D,where the domain DD is a triangle. The proposed procedure, by a suitable transformation, is essentially the Nyström method based on the zeros of univariate Jacobi orthogonal polynomials. Convergence, stability and well conditioning of the method are proved. In order to illustrate the efficiency of the proposed method some numerical tests are given.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 219, Issue 14, 15 March 2013, Pages 7653–7662
نویسندگان
, , ,