کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6419224 | 1339379 | 2012 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A potential function method for the Cauchy problem of elliptic operators
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: A potential function method for the Cauchy problem of elliptic operators A potential function method for the Cauchy problem of elliptic operators](/preview/png/6419224.png)
چکیده انگلیسی
In this paper, we deal with the Cauchy problem of elliptic operators. Through the use of a single-layer potential function, we devise a numerical method for approximating the solution of the Cauchy problem of elliptic operators, which are well known to be highly ill-posed in nature. The method is based on the denseness of single-layer potential functions. Convergence and stability estimates are then given with some examples for numerical verification on the efficiency of the proposed method. It has been observed that the use of more Cauchy data will greatly improve the accuracy of the approximate solutions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 395, Issue 1, 1 November 2012, Pages 164-174
Journal: Journal of Mathematical Analysis and Applications - Volume 395, Issue 1, 1 November 2012, Pages 164-174
نویسندگان
Yao Sun, Deyue Zhang, Fuming Ma,