کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4639172 | 1632032 | 2014 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Superconvergent Nyström and degenerate kernel methods for Hammerstein integral equations
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Superconvergent Nyström and degenerate kernel methods for Hammerstein integral equations Superconvergent Nyström and degenerate kernel methods for Hammerstein integral equations](/preview/png/4639172.png)
چکیده انگلیسی
In a recent paper, we introduced new methods called superconvergent Nyström and degenerate kernel methods for approximating the solution of Fredholm integral equations of the second kind with a smooth kernel. In this paper, these methods are applied to numerically solve the Hammerstein equations. By using an interpolatory projection at Gauss points onto the space of (discontinuous) piecewise polynomials of degree ≤r−1≤r−1, we prove that, as for Fredholm integral equations, the proposed methods exhibit convergence orders 3r3r and 4r4r for the iterated version. Several numerical examples are given to demonstrate the effectiveness of the current methods.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 258, 1 March 2014, Pages 30–41
Journal: Journal of Computational and Applied Mathematics - Volume 258, 1 March 2014, Pages 30–41
نویسندگان
C. Allouch, D. Sbibih, M. Tahrichi,