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

Bayrak M. A., Gör İ.

AIP CONFERENCE PROCEEDINGS, cilt.470, sa.88, 2012 (Hakemli Dergi)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 470 Sayı: 88
  • Basım Tarihi: 2012
  • Dergi Adı: AIP CONFERENCE PROCEEDINGS
  • Derginin Tarandığı İndeksler: Aerospace Database, Artic & Antarctic Regions, Communication Abstracts, INSPEC, Metadex, Public Affairs Index, zbMATH, Civil Engineering Abstracts
  • Kocaeli Üniversitesi Adresli: Evet

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 Adomian Decomposition method (ADM). To show of efficiency of the new approach, test example is presented.