Solution of a time fractional inverse parabolic problem by a numerical algorithm based on finite differences method

In this paper, a numerical algorithm will be introduced for solving a time fractional inverse parabolic problem with the Caputo fractional partial derivative. In the mathematical model of this problem, one of the boundary conditions is unknown. For solving this inverse problem, we introduce a numerical algorithm based on finite differences method according to an overspecified condition. Finally, an example will be presentedto illustrate the ability and efficiency of numerical method.

Keywords:

Caputo fractional derivatives , Time fractional inverse problem , Finite differences