Efficient Kansa-type MFS algorithm for time-fractional inverse diffusion problems
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 کاملA Regularization Method for Time-fractional Linear Inverse Diffusion Problems
In this article, we consider an inverse problem for a time-fractional diffusion equation with a linear source in a one-dimensional semi-infinite domain. Such a problem is obtained from the classical diffusion equation by replacing the first-order time derivative by the Caputo fractional derivative. We show that the problem is ill-posed, then apply a regularization method to solve it based on th...
متن کاملFractional diffusion equations by the Kansa method
This study makes the first attempt to apply the Kansa method in the solution of the time fractional diffusion equations, in which the MultiQuadrics and thin plate spline serve as the radial basis function. In the discretization formulation, the finite difference scheme and the Kansa method are respectively used to discretize time fractional derivative and spatial derivative terms. The numerical...
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 کاملSpectral 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 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: 2014
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2014.02.008