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Wavelet Method for Viscoelastic Fractional Derivative Model
作者:Wang, XM (Wang, Xiaomin)[ 1,2 ] ; Wang, JZ (Wang, Jizeng)[ 2 ] ; Zhou, YH (Zhou, Youhe)[ 2 ]
编者:Simos, TE; Tsitouras, C
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014)
丛书: AIP Conference Proceedings
卷: 1648
文献号: UNSP 490011
DOI: 10.1063/1.4912694
出版年: 2015
会议名称
会议: International Conference on Numerical Analysis and Applied Mathematics (ICNAAM)
会议地点: Rhodes, GREECE
会议日期: SEP 22-28, 2014
摘要
We present a wavelet method to solve the nonlinear dynamics problems of Duffing system with fractional order damping. By using Laplace transform, the proposed method first convert the nonlinear governing equation containing singular integral terms into nonsingular second type Voltera integral equations. And then by incorporating the generalized-Gaussian-quadrature method in wavelet analysis into the wavelet-collocation method, the original fractional nonlinear differential equation is eventually transformed into a set of algebraic equations, which can be readily solved. Examples on dynamics properties of nonlinear Duffing system with fractional viscoelastic property are studied, by which efficiency and accuracy of the proposed method are justified.
关键词
作者关键词:Wavelet method; Nonlinear differential equation; Fractional derivative
作者信息
通讯作者地址: Wang, JZ (通讯作者)
显示增强组织信息的名称        Lanzhou Univ, Sch Civil Engn & Mech, Key Lab Mech Disaster & Environm Western China, Minist Educ, Lanzhou 730000, Peoples R China.
地址:
显示增强组织信息的名称        [ 1 ] Huazhong Agr Univ, Coll Engn, Wuhan, Hubei, Peoples R China
显示增强组织信息的名称        [ 2 ] Lanzhou Univ, Sch Civil Engn & Mech, Key Lab Mech Disaster & Environm Western China, Minist Educ, Lanzhou 730000, Peoples R China
电子邮件地址:jzwang@lzu.edu.cn; zhouyh@lzu.edu.cn
出版商
AMER INST PHYSICS, 2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA
类别 / 分类
研究方向:Mathematics; Physics
Web of Science 类别:Mathematics, Applied; Physics, Applied
文献信息
文献类型roceedings Paper
语种:English
入藏号: WOS:000355339702101
ISBN:978-0-7354-1287-3
ISSN: 0094-243X
其他信息
IDS 号: BC7YA
Web of Science 核心合集中的 "引用的参考文献": 5
Web of Science 核心合集中的 "被引频次": 0，