Convergence of the Homotopy Decomposition Method for Solving Nonlinear Equations

نویسندگان

  • Xuehui Chen
  • Liancun Zheng
  • Xinxin Zhang
  • Shijun Liao
چکیده

A new definition of the homotopy analysis method is given by means of the decomposition method in this paper. The convergence of the homotopy decomposition method is proved under some reasonable hypotheses, which provide the theoretical basis of the homotopy decomposition method for solving nonlinear problems. AMS subject classification: 34A34.

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تاریخ انتشار 2007