Modified homotopy perturbation method for nonlinear equations and comparison with Adomian decomposition method

@article{Abbasbandy2006ModifiedHP,
  title={Modified homotopy perturbation method for nonlinear equations and comparison with Adomian decomposition method},
  author={Saeid Abbasbandy},
  journal={Applied Mathematics and Computation},
  year={2006},
  volume={172},
  pages={431-438}
}
Abstract In this paper, we present some efficient numerical algorithms for solving nonlinear equations based on Newton–Raphson method by using modified homotopy perturbation method. The modified Adomian decomposition method [S. Abbasbandy, Improving Newton–Raphson method for nonlinear equations by modified Adomian decomposition method, Appl. Math. Comput. 145 (2003) 887–893], is compared with new algorithms. Some numerical illustrations are given to show the efficiency of algorithms. 

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