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Solving Delay Differential Equations with Homotopy Analysis Method

  • Conference paper
Life System Modeling and Intelligent Computing (ICSEE 2010, LSMS 2010)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 97))

Abstract

Delay differential equations have a wide range of application in science and engineering. They arise when the rate of change of a time-dependent process in its mathematical modeling is not only determined by its present state but also by a certain past state.In this paper, a nonlinear delay differential equation in biology was investigated. The approximation solution for the model was obtained by homotopy analysis method. Different from other analytic techniques, the homotopy analysis method provides a simple way to ensure the convergence of the solution series, so that one can always get accurate approximations. Compared with the numerical solution, the approximation solution has higher precision. It is showed that the homotopy analysis method was valid and feasible to the study of delay differential equations.

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Authors and Affiliations

  1. Faculty of Applied Mathematics, Guangdong University of Technology, Guangzhou, 510006, China

    Qi Wang

  2. School of Environmental Science and Engineering, Guangdong University of Technology, Guangzhou, 510006, China

    Fenglian Fu

  3. Shenzhen Graduate School, Harbin Institute of Technology, Shenzhen, 518055, China

    Qi Wang

Authors
  1. Qi Wang
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  2. Fenglian Fu
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Editor information

Editors and Affiliations

  1. School of Electronics, Electrical Engineering & Computer Science, Queen’s University Belfast, BT9 5AH, Belfast, UK

    Kang Li  & George W. Irwin  & 

  2. Shanghai University, China

    Xin Li  & Shiwei Ma  & 

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© 2010 Springer-Verlag Berlin Heidelberg

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Wang, Q., Fu, F. (2010). Solving Delay Differential Equations with Homotopy Analysis Method . In: Li, K., Li, X., Ma, S., Irwin, G.W. (eds) Life System Modeling and Intelligent Computing. ICSEE LSMS 2010 2010. Communications in Computer and Information Science, vol 97. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15853-7_18

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  • DOI: https://doi.org/10.1007/978-3-642-15853-7_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-15852-0

  • Online ISBN: 978-3-642-15853-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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