کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4636048 | 1631839 | 2006 | 16 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A modified method for a non-standard inverse heat conduction problem
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله

چکیده انگلیسی
A non-standard inverse heat conduction problem is considered. Data are given along the line x = 1 and the solution at x = 0 is sought. The problem is ill-posed in the sense that the solution (if it exists) does not depend continuously on the data. In order to solve the problem numerically it is necessary to employ some regularization method. In this paper, we study a modification of the equation, where a fourth-order mixed derivative term is added. Error estimates for this equation are given, which show that the solution of the modified equation is an approximation of the heat equation. A numerical implementation is considered and a simple example is given. Some numerical results show the usefulness of the modified method.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 180, Issue 2, 15 September 2006, Pages 453–468
Journal: Applied Mathematics and Computation - Volume 180, Issue 2, 15 September 2006, Pages 453–468
نویسندگان
Zhi Qian, Chu-Li Fu, Xiang-Tuan Xiong,