Modified homotopy perturbation method for nonlinear equations and comparison with Adomian decomposition method
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摘要
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.
论文关键词:Newton–Raphson method,Homotopy perturbation method,Adomian decomposition method,Nonlinear equations
论文评审过程:Available online 12 April 2005.
论文官网地址:https://doi.org/10.1016/j.amc.2005.02.015