Homotopy Analysis Method

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Copyright: 2018
Pages: 54
Source title: Numerical and Analytical Solutions for Solving Nonlinear Equations in Heat Transfer
Source Author(s)/Editor(s): Davood Domiri Ganji (Babol Noshirvani University of Technology, Iran)and Roghayeh Abbasi Talarposhti (University of Mazandaran, Iran)
DOI: 10.4018/978-1-5225-2713-8.ch007

Keywords: Engineering Science Reference / Mechanical Engineering / Science & Engineering

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Abstract

In this chapter, the analytic solution of nonlinear partial differential equations arising in heat transfer is obtained using the newly developed analytic method, namely the Homotopy Analysis Method (HAM). The homotopy analysis method provides us with a new way to obtain series solutions of such problems. This method contains the auxiliary parameter provides us with a simple way to adjust and control the convergence region of series solution. By suitable choice of the auxiliary parameter, we can obtain reasonable solutions for large modulus.

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