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Newton-homotopy analysis method for nonlinear equations
Journal article   Peer reviewed

Newton-homotopy analysis method for nonlinear equations

S. Abbasbandy, Y. Tan and S.J. Liao
Applied mathematics and computation, Vol.188(2), pp.1794-1800
15/05/2007
DOI: https://doi.org/10.1016/j.amc.2006.11.136

Abstract

Adomian’s decomposition method Homotopy analysis method Homotopy perturbation method Newton–Raphson method
In this paper, we present an efficient numerical algorithm for solving nonlinear algebraic equations based on Newton–Raphson method and homotopy analysis method. Also, we compare homotopy analysis method with Adomian’s decomposition method and homotopy perturbation method. Some numerical illustrations are given to show the efficiency of algorithm.

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