Homotopy analysis method for nonlinear periodic oscillating equations with absolute value term
type: Item
instance of: scholarly article
title: Homotopy analysis method for nonlinear periodic oscillating equations with absolute value term
zbMATH Open document ID: 1394.34033
DOI: 10.1155/2015/132651
author: Jifeng Cui
author: Hang Xu
author: Zhiliang Lin
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: Based on the homotopy analysis method (HAM), an analytic approach is proposed for highly nonlinear periodic oscillating equations with absolute value terms. The nonsmoothness of absolute value terms is handled by means of Fourier expansion, and the convergence is accelerated by using the iteration method. Two typical examples which can not be solved by the method of averaging of perturbation technique are employed to illustrate the validity and flexibility of this approach. Rather, accurate approximations are obtained using the HAM-based approach. The proposed approach has general meanings and thus can be used to solve many highly nonlinear periodic oscillating systems with this type of nonsmoothness of absolute value term.
Mathematics Subject Classification ID: 34A45
Mathematics Subject Classification ID: 34E10
zbMATH DE Number: 6925540
Wikidata QID: Q59117332
describes a project that uses: BVPh
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/132651
OpenAlex ID: W1605389947
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description: scientific article; zbMATH DE number 6925540