Homotopy Analysis Method for Nonlinear Periodic Oscillating Equations with Absolute Value Term
Joint Authors
Xu, Hang
Cui, Jifeng
Lin, Zhiliang
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-07-13
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
Based on the homotopy analysismethod (HAM), an analytic approach is proposed for highlynonlinear periodic oscillating equations with absolute valueterms.
The nonsmoothness of absolute value terms is handled bymeans of Fourier expansion, and the convergence is accelerated by usingthe iteration method.
Two typical examples which can not be solved by the method of averaging of perturbationtechnique are employed to illustrate the validity and flexibility of this approach.
Rather, accurate approximations are obtainedusing the HAM-based approach.
The proposed approach has generalmeanings and thus can be used to solve many highly nonlinearperiodic oscillating systems with this type of nonsmoothness of absolute value term.
American Psychological Association (APA)
Cui, Jifeng& Xu, Hang& Lin, Zhiliang. 2015. Homotopy Analysis Method for Nonlinear Periodic Oscillating Equations with Absolute Value Term. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-7.
https://search.emarefa.net/detail/BIM-1072964
Modern Language Association (MLA)
Cui, Jifeng…[et al.]. Homotopy Analysis Method for Nonlinear Periodic Oscillating Equations with Absolute Value Term. Mathematical Problems in Engineering No. 2015 (2015), pp.1-7.
https://search.emarefa.net/detail/BIM-1072964
American Medical Association (AMA)
Cui, Jifeng& Xu, Hang& Lin, Zhiliang. Homotopy Analysis Method for Nonlinear Periodic Oscillating Equations with Absolute Value Term. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-7.
https://search.emarefa.net/detail/BIM-1072964
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1072964