A novel analytic approximation method with a convergence acceleration parameter for solving nonlinear problems

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Xiaolong Zhang, Li Zou, Songxin Liang, Cheng Liu

Published: 01 Jan 2018, Last Modified: 12 Apr 2025Commun. Nonlinear Sci. Numer. Simul. 2018EveryoneRevisionsBibTeXCC BY-SA 4.0
Abstract: Highlights•A convergence acceleration parameter is introduced to enlarge the convergence rate and region.•A novel method is always valid no matter there exist small parameters or not in the problems.•A numerical method for choosing the optimal value of convergence acceleration parameter is given.