کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4642229 | 1341336 | 2009 | 18 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The finite element-Galerkin method for singular self-adjoint 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: The finite element-Galerkin method for singular self-adjoint differential equations The finite element-Galerkin method for singular self-adjoint differential equations](/preview/png/4642229.png)
چکیده انگلیسی
We investigate the finite element-Galerkin method for singular self-adjoint second-order differential expressions. The weak formulation of the problem involves integration by parts, which allows the use of the usual piecewise linear functions. Our analysis shows that the method produces the solution corresponding to a particular self-adjoint realization of the differential expression. We also propose two algorithms to approximate the solution of any self-adjoint realization. Numerical examples are given to illustrate the analysis as well as the proposed algorithms.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 223, Issue 2, 15 January 2009, Pages 735–752
Journal: Journal of Computational and Applied Mathematics - Volume 223, Issue 2, 15 January 2009, Pages 735–752
نویسندگان
Mohamed A. El-Gebeily, Khaled M. Furati, Donal O’Regan,