Identifying an Unknown Function in a Parabolic Equation by Homotopy Analysis Method and Comparison with the Adomian Decomposition Method


Bayrak M. A. , Ulvi I.

1st International Conference on Analysis and Applied Mathematics (ICAAM), Gümüşhane, Türkiye, 18 - 21 Ekim 2012, cilt.1470, ss.88-91 identifier identifier

  • Cilt numarası: 1470
  • Doi Numarası: 10.1063/1.4747646
  • Basıldığı Şehir: Gümüşhane
  • Basıldığı Ülke: Türkiye
  • Sayfa Sayıları: ss.88-91

Özet

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.