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論文標(biāo)題 Wavelet method for viscoelastic fractional derivative model
作者：Xiaomin Wanga, Jizeng Wang, Youhe Zhou
會議名稱：international conference on numercial analysis and applied mathematics (ICNAAM)
時間：sep 22-28,2014
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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 ]
編者:Simos, TE; Tsitouras, C
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014)
叢書: AIP Conference Proceedings
卷: 1648
文獻(xiàn)號: UNSP 490011
DOI: 10.1063/1.4912694
出版年: 2015
會議名稱
會議: International Conference on Numerical Analysis and Applied Mathematics (ICNAAM)
會議地點: Rhodes, GREECE
會議日期: 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.
關(guān)鍵詞
作者關(guān)鍵詞:Wavelet method; Nonlinear differential equation; Fractional derivative
作者信息
通訊作者地址: Wang, JZ (通訊作者)
顯示增強(qiáng)組織信息的名稱 Lanzhou Univ, Sch Civil Engn & Mech, Key Lab Mech Disaster & Environm Western China, Minist Educ, Lanzhou 730000, Peoples R China.
地址:
顯示增強(qiáng)組織信息的名稱 [ 1 ] Huazhong Agr Univ, Coll Engn, Wuhan, Hubei, Peoples R China
顯示增強(qiáng)組織信息的名稱 [ 2 ] Lanzhou Univ, Sch Civil Engn & Mech, Key Lab Mech Disaster & Environm Western China, Minist Educ, Lanzhou 730000, Peoples R China
電子郵件地址:jzwang@lzu.edu.cn; zhouyh@lzu.edu.cn
出版商
AMER INST PHYSICS, 2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA
類別 / 分類
研究方向:Mathematics; Physics
Web of Science 類別:Mathematics, Applied; Physics, Applied
文獻(xiàn)信息
文獻(xiàn)類型roceedings Paper
語種:English
入藏號: WOS:000355339702101
ISBN:978-0-7354-1287-3
ISSN: 0094-243X
其他信息
IDS 號: BC7YA
Web of Science 核心合集中的 "引用的參考文獻(xiàn)": 5
Web of Science 核心合集中的 "被引頻次": 0，