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. |