Identifying an unknown function in a parabolic equation by Homotopy analysis method and comparison with the Adomian decomposition method

Subject Applied Mathematics
Title Identifying an unknown function in a parabolic equation by Homotopy analysis method and comparison with the Adomian decomposition method
Author(s) Iclal Ulvi, M.Aylin Bayrak
Keywords inverse problems; homotopy analysis method; adomian decomposition method
Abstract

In this paper, the homotopy analysis method is used for computing an unknown time-dependent parameter in an inverse quasilinear parabolic partial differential equation and compared with the Adomian decomposition method.To show the efficiency of the new approach, several test examples are presented.