کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4645272 | 1632205 | 2013 | 19 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Two regularization methods to identify a space-dependent source for the time-fractional diffusion equation
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات محاسباتی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Two regularization methods to identify a space-dependent source for the time-fractional diffusion equation Two regularization methods to identify a space-dependent source for the time-fractional diffusion equation](/preview/png/4645272.png)
چکیده انگلیسی
In this paper, the inverse problem of identifying a space-dependent source for the time-fractional diffusion equation is investigated. Such a problem is obtained from the classical diffusion equation in which the time derivative is replaced with a Caputo derivative of order α∈(0,1]. We show that such a problem is ill-posed and apply the Tikhonov regularization method and a simplified Tikhonov regularization method to solve it based on the solution given by the separation of variables. Convergence estimates are presented under an a priori parameter choice rule and an a posteriori parameter choice rule, respectively. Finally, numerical examples are given to show that the regularization methods are effective and stable.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Numerical Mathematics - Volume 68, June 2013, Pages 39-57
Journal: Applied Numerical Mathematics - Volume 68, June 2013, Pages 39-57