Homotopy Perturbation Method

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Copyright: 2018
Pages: 38
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.ch002

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

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Abstract

The homotopy perturbation method (HPM) is employed to compute an approximation to the solution of the system of nonlinear differential equations governing on the problem. It has been attempted to show the capabilities and wide-range applications of the homotopy perturbation method in comparison with the previous ones in solving heat transfer problems. The obtained solutions, in comparison with the exact solutions admit a remarkable accuracy. A clear conclusion can be drawn from the numerical results that the HPM provides highly accurate numerical solutions for nonlinear differential equations.

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