کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4639455 | 1632051 | 2013 | 21 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A meshless method for solving nonlinear two-dimensional integral equations of the second kind on non-rectangular domains using radial basis functions with error analysis
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In this paper, we present a numerical method for solving two-dimensional nonlinear Fredholm integral equations of the second kind on a non-rectangular domain. The method utilizes radial basis functions (RBFs) constructed on scattered points as a basis in the discrete collocation method. The proposed scheme is meshless, since it does not need any domain element and so it is independent of the geometry of the domain. The method reduces the solution of the two-dimensional nonlinear integral equation to the solution of a nonlinear system of algebraic equations. Error analysis is presented for this method. Finally, numerical examples are included to show the validity and efficiency of the new technique.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 239, 1 February 2013, Pages 72–92
Journal: Journal of Computational and Applied Mathematics - Volume 239, 1 February 2013, Pages 72–92
نویسندگان
Pouria Assari, Hojatollah Adibi, Mehdi Dehghan,