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) | M. Aylin Bayrak and Iclal Ulvi |
| Keywords | Inverse parabolic equation, Unknown coefficients, Homotopy analysis method, Adomian decomposition method |
| Abstract | In this paper, the homotopy analysis method is used for computing an un- known time-dependent parameter in an inverse quasilinear parabolic partial di¤erential equation and compared with the Adomian decomposition method. To show the e¢ ciency of the new approach, several test examples are presented. |