Association Journal of CSIAM
Supervised by Ministry of Education of PRC
Sponsored by Xi'an Jiaotong University
ISSN 1005-3085  CN 61-1269/O1
Chinese Journal of Engineering Mathematics

Chinese Journal of Engineering Mathematics ›› 2018, Vol. 35 ›› Issue (1): 88-100.doi: 10.3969/j.issn.1005-3085.2018.01.009

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Local Polynomial Smoother for Solving Bagley-Torvik Fractional Differential Equations

LUO Shuang-hua1,   WANG Song1,   ZHANG Cheng-yi1,   LIU Qing-bing2   

  1. 1- School of Science, Xi'an Polytechnic University, Xi'an 710048
    2- School of Science, Zhejiang Wanli University, Ningbo 315100
  • Received:2015-11-11 Accepted:2017-06-28 Online:2018-02-15 Published:2018-04-15
  • Supported by:
    The National Natural Science Foundations of China (11601409); the Natural Science Foundation of Shaanxi Province (2016JM1009); the Science Foundation of the Education Department of Shaanxi Province (17JK0344); the National Natural Science Foundation of Zhejiang Province (LY14A010007; LQ14G010002); the Natural Science Foundation of Ningbo (2015A610173).

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Abstract: The local polynomial smoother (LPS) method is proposed in this paper to derive the numerical solution of the Bagley-Torvik fractional-order differential equations. Firstly, the local polynomial smoother method is well constructed and its main thinking is emphasized. Then this method is employed to solve the Bagley-Torvik FDEs. Finally, some numerical comparison experiments with some other methods are made to demonstrate that the LPS method proposed is more efficient and more accurate than Legendre operational matrix method and pseudo-spectral method.

Key words: numerical solution, local polynomial smoother (LPS) method, Bagley-Torvik fractional differential equations

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