کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4644810 1632162 2017 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Identification of the zeroth-order coefficient in a time fractional diffusion equation
ترجمه فارسی عنوان
شناسایی ضریب مرتبه صفر در یک معادله فیزیکی انتشار
کلمات کلیدی
معادله نفوذ معکوس، ضریب نظم صفر معکوس، منحصر به فرد، روش شبیه ساز
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات محاسباتی
چکیده انگلیسی

This paper is devoted to identify the zeroth-order coefficient in a time-fractional diffusion equation from two boundary measurement data in one-dimensional case. The existence and uniqueness of two kinds of weak solutions for the direct problem with Neumann boundary condition are proved. We provide the uniqueness for recovering the zeroth-order coefficient and fractional order simultaneously by the Laplace transformation and Gel'fand–Levitan theory. The identification of the zeroth-order coefficient is formulated into a variational problem by the Tikhonov regularization. The existence, stability and convergence of the solution for the variational problem are provided. We deduce an adjoint problem and then use a conjugate gradient method to solve the variational problem. Two numerical examples are provided to show the effectiveness of the proposed method.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Numerical Mathematics - Volume 111, January 2017, Pages 160–180
نویسندگان
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