Homotopy Analysis and Pade´ Methods for Solving Two Nonlinear Equations

Autor: A. Golbabai, H. Kheiri, D. Ahmadian
Jazyk: angličtina
Rok vydání: 2011
Předmět:
Zdroj: Journal of Mathematical Extension, Vol 5, Iss 3, Pp 123-139 (2011)
Druh dokumentu: article
ISSN: 1735-8299
Popis: In this paper, we are giving analytic approximate solutions to nonlinear PDEs using the Homotopy Analysis Method (HAM) and Homotopy Pad´e Method(HPad´eM). The HAM contains the auxiliary parameter h, which provides us with a simple way to adjust and control the convergence regions of solution series. It is illustrated that HPad´eM accelerates the convergence of the related series. The results reveal these methods are remarkably effective.
Databáze: Directory of Open Access Journals