کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4635201 | 1340708 | 2007 | 6 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Radial basis function networks in the numerical solution of linear integro-differential equations
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Radial basis function networks in the numerical solution of linear integro-differential equations Radial basis function networks in the numerical solution of linear integro-differential equations](/preview/png/4635201.png)
چکیده انگلیسی
The purpose of this paper is to present a new method to solve the linear integro-differential equations using radial basis function (RBF) networks. The approximate solution is represented by means of RBFs, whose coefficients are computed by training a RBF network, and is written as a sum of two parts. The first part employs a growing RBF network, whose parameters are adjusted to minimize an appropriate error function, and are constructed so as not to effect the supplementary conditions of the equations. The second part only satisfies the supplementary conditions. Numerical examples are given to demonstrate the proposed idea and method.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 188, Issue 1, 1 May 2007, Pages 427–432
Journal: Applied Mathematics and Computation - Volume 188, Issue 1, 1 May 2007, Pages 427–432
نویسندگان
A. Golbabai, S. Seifollahi,