کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1703020 | 1519403 | 2015 | 17 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Numerical simulation for an inverse source problem in a degenerate parabolic equation
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Numerical simulation for an inverse source problem in a degenerate parabolic equation Numerical simulation for an inverse source problem in a degenerate parabolic equation](/preview/png/1703020.png)
چکیده انگلیسی
This paper deals with an inverse problem of identifying the source coefficient in degenerate parabolic equations. On the basis of extremum principle, the uniqueness of the proposed problem is obtained. The difference scheme for the direct problem is got by using the finite volume method and the corresponding stability is also proved. An iteration scheme of the Landweber type is applied to handle the numerical solution. In the end, several numerical experiments are performed to test the validity of the scheme. The numerical results show that the method is stable and the unknown function is recovered very well when iterative parameter αα and iterative times are matching appropriately.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematical Modelling - Volume 39, Issues 23–24, December 2015, Pages 7537–7553
Journal: Applied Mathematical Modelling - Volume 39, Issues 23–24, December 2015, Pages 7537–7553
نویسندگان
Xiao-Bo Rao, Yu-Xin Wang, Kun Qian, Zui-Cha Deng, Liu Yang,