%0 Journal Article
%T Determination of unknown source term and boundary flux in a time-fractional inverse diffusion problem
%J Journal of Advanced Mathematical Modeling
%I Shahid Chamran University of Ahvaz
%Z 2251-8088
%A Toubaei, Sedigheh
%A Garshsbi, M.
%A Reihani Ardabili, Parastoo
%D 2021
%\ 06/22/2021
%V 11
%N 2
%P 271-287
%! Determination of unknown source term and boundary flux in a time-fractional inverse diffusion problem
%K Time fractional
%K Inverse problem
%K mollication
%K marching method
%R 10.22055/jamm.2021.35292.1862
%X In this work, we consider an inverse fractional parabolic problem that has many applications in different fields. Simultaneously determination of a source term and a boundary flux function in a time-fractional order parabolic equation is investigated using a mollified space marching method. Superposition and Duhamel's principles, the uniqueness of solution with respect to an over determination condition is proved. The stability and convergence of the numerical method are proved and two numerical test problems are conducted to illustrate the ability and accuracy of the numerical method.
%U https://jamm.scu.ac.ir/article_16774_8868049e5efe08584902ac865bd845d7.pdf