Identification and regularization for unknown source for a time-fractional diffusion equation
نویسندگان
چکیده
منابع مشابه
Regularization methods for unknown source in space fractional diffusion equation
We discuss determining the unknown steady source in a space fractional diffusion equation and show that both the Fourier and avelet dual least squares regularization methods work well for the ill-posed problem. The detailed error estimates are also strictly stablished for both of the methods. Moreover, the algorithm implementation and the corresponding numerical results are presented or the Fou...
متن کاملLandweber iterative regularization method for identifying the unknown source of the time-fractional diffusion equation
In this paper, we investigate an inverse problem to determine an unknown source term that has a separable-variable form in the time-fractional diffusion equation, whereby the data is obtained at a certain time. This problem is ill-posed, and we use the Landweber iterative regularization method to solve this inverse source problem. Two kinds of convergence rates are obtained by using an a priori...
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 کاملA New Implicit Finite Difference Method for Solving Time Fractional Diffusion Equation
In this paper, a time fractional diffusion equation on a finite domain is con- sidered. The time fractional diffusion equation is obtained from the standard diffusion equation by replacing the first order time derivative by a fractional derivative of order 0 < a< 1 (in the Riemann-Liovill or Caputo sence). In equation that we consider the time fractional derivative is in...
متن کاملA numerical scheme for space-time fractional advection-dispersion equation
In this paper, we develop a numerical resolution of the space-time fractional advection-dispersion equation. We utilize spectral-collocation method combining with a product integration technique in order to discretize the terms involving spatial fractional order derivatives that leads to a simple evaluation of the related terms. By using Bernstein polynomial basis, the problem is transformed in...
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: 2017
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2016.10.002