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

Publish Year: 1394
Type: Conference paper
Language: English
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Document National Code:

CSCG01_171

Index date: 21 October 2017

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

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.

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

Caputo fractional derivatives , Time fractional inverse problem , Finite differences

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

Afshin Babaei

Department of Mathematics, University of Mazandaran, Babolsar, Iran

Alireza Mohammadpour

Department of Mathematics, Babol Branch, Islamic Azad University, Babol, Iran