An inverse source problem in a semilinear time-fractional diffusion equation
نویسندگان
چکیده
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 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 کاملSolving the inverse problem of determining an unknown control parameter in a semilinear parabolic equation
The inverse problem of identifying an unknown source control param- eter in a semilinear parabolic equation under an integral overdetermina- tion condition is considered. The series pattern solution of the proposed problem is obtained by using the weighted homotopy analysis method (WHAM). A description of the method for solving the problem and nding the unknown parameter is derived. Finally, tw...
متن کاملoptimal 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 کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 2016
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2016.07.029