optimal results for a time-fractional inverse diffusion problem under the hölder type source condition
نویسندگان
چکیده
in the present paper we consider a time-fractional inverse diffusion problem, where data is given at $x=1$ and the solution is required in the interval $0
منابع مشابه
Optimal results for a time-fractional inverse diffusion problem under the Hölder type source condition
In the present paper we consider a time-fractional inverse diffusion problem, where data is given at $x=1$ and the solution is required in the interval $0
متن کاملthe algorithm for solving the inverse numerical range problem
برد عددی ماتریس مربعی a را با w(a) نشان داده و به این صورت تعریف می کنیم w(a)={x8ax:x ?s1} ، که در آن s1 گوی واحد است. در سال 2009، راسل کاردن مساله برد عددی معکوس را به این صورت مطرح کرده است : برای نقطه z?w(a)، بردار x?s1 را به گونه ای می یابیم که z=x*ax، در این پایان نامه ، الگوریتمی برای حل مساله برد عددی معکوس ارانه می دهیم.
15 صفحه اولSpectral Optimization Methods for the Time Fractional Diffusion Inverse Problem
An inverse problem of reconstructing the initial condition for a time fractional diffusion equation is investigated. On the basis of the optimal control framework, the uniqueness and first order necessary optimality condition of the minimizer for the objective functional are established, and a time-space spectral method is proposed to numerically solve the resulting minimization problem. The co...
متن کاملExistence and uniqueness in an inverse source problem for a one-dimensional time-fractional diffusion equation
In this study, an inverse source problem for a one-dimensional timefractional diffusion equation is considered. An existence theorem based on the minimization of an error functional between the output data and the additional data is proved. Then it is showed that the unknown source function can be determined uniquely by an additional data u(0, t), 0 ≤ t ≤ T using an auxiliary uniqueness result ...
متن کاملFourier Truncation Method for an Inverse Source Problem for Space-time Fractional Diffusion Equation
In this article, we study an inverse problem to determine an unknown source term in a space time fractional diffusion equation, whereby the data are obtained at a certain time. In general, this problem is ill-posed in the sense of Hadamard, so the Fourier truncation method is proposed to solve the problem. In the theoretical results, we propose a priori and a posteriori parameter choice rules a...
متن کاملOn the Inverse Problem for a Fractional Diffusion Equation
We consider the inverse problem of finding the temperature distribution and the heat source whenever the temperatures at the initial time and the final time are given. The problem considered is one dimensional and the unknown heat source is supposed to be space dependent only. The existence and uniqueness results are proved.
متن کاملمنابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
bulletin of the iranian mathematical societyناشر: iranian mathematical society (ims)
ISSN 1017-060X
دوره 41
شماره 4 2015
میزبانی شده توسط پلتفرم ابری doprax.com
copyright © 2015-2023