Liao, S.J. (1992) Proposed Homotopy Analysis Techniques for the Solution of Nonlinear Problems. Ph.D. Thesis, Shanghai Jiao Tong University, Shanghai.

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.