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, vol.470, no.88, 2012 (Peer-Reviewed Journal)

  • Publication Type: Article / Article
  • Volume: 470 Issue: 88
  • Publication Date: 2012
  • Journal Name: AIP CONFERENCE PROCEEDINGS
  • Journal Indexes: Aerospace Database, Artic & Antarctic Regions, Communication Abstracts, INSPEC, Metadex, Public Affairs Index, zbMATH, Civil Engineering Abstracts
  • 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 Adomian Decomposition method (ADM). To show of efficiency of the new approach, test example is presented.