Identifying an Unknown Function in a Parabolic Equation by Homotopy Analysis Method and Comparison with the Adomian Decomposition Method
1st International Conference on Analysis and Applied Mathematics (ICAAM), Gümüşhane, Turkey, 18 - 21 October 2012, vol.1470, pp.88-91, (Full Text)
- Publication Type: Conference Paper / Full Text
- Volume: 1470
- Doi Number: 10.1063/1.4747646
- City: Gümüşhane
- Country: Turkey
- Page Numbers: pp.88-91
- Kocaeli University Affiliated: Yes
Abstract
In this paper, the homotopy analysis method (HAM) is used for computing an unknown time-dependent parameter in an inverse semi-linear parabolic partial differential equation and compared with the Adomian decomposition method (ADM). To show the efficiency of the new approach, test example is presented.