Article citationsMore>>

Liao, S.J. (2009) Notes on the Homotopy Analysis Method: Some Definitions and Theorems. Communications in Non-linear Science and Numerical Simulation, 14, 983-997. http://dx.doi.org/10.1016/j.cnsns.2008.04.013

has been cited by the following article:

• TITLE: Homotopy Analysis Method for Equations of the Type Δ2=b(x,y) and Δ2u=b(x,y,u)

  AUTHORS: Selcuk Yildirim

  KEYWORDS: Homotopy Analysis Method, Engineering Problems, Exact Solutions

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.3 No.4, April 20, 2015

  ABSTRACT: In this paper, the homoto pyanalysis method (HAM) is presented to solve some of engineering problems. The homotopy analysis method is applied in obtaining exact solutions for equations of the typeΔ2=b(x,y) and Δ2u=b(x,y,u) on an elliptical domain. Exact solutions are presented for several examples involving to demon strate the applic ability and efficiency of HAM.