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Applied Mathematics and Mechanics (English Edition) ›› 2014, Vol. 35 ›› Issue (4): 481-488.doi: https://doi.org/10.1007/s10483-014-1806-7

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Modified asymptotic Adomian decomposition method for solving Boussinesq equation of groundwater flow

陈芳 刘青泉   

  1. 1. Key Laboratory for Mechanics in Fluid Solid Coupling Systems, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, P. R. China;
    2. School of Applied Science, Beijing Information Science and Technology University, Beijing 100192, P. R. China
  • 收稿日期:2013-09-13 修回日期:2013-11-13 出版日期:2014-04-09 发布日期:2014-04-01
  • 通讯作者: Qing-quan LIU, Professor E-mail:qqliu@imech.ac.cn

Modified asymptotic Adomian decomposition method for solving Boussinesq equation of groundwater flow

 CHEN Fang, LIU Qing-Quan   

  1. 1. Key Laboratory for Mechanics in Fluid Solid Coupling Systems, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, P. R. China;
    2. School of Applied Science, Beijing Information Science and Technology University, Beijing 100192, P. R. China
  • Received:2013-09-13 Revised:2013-11-13 Online:2014-04-09 Published:2014-04-01
  • Contact: Qing-quan LIU, Professor E-mail:qqliu@imech.ac.cn

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被引次数

4

摘要： The Adomian decomposition method (ADM) is an approximate analytic method for solving nonlinear equations. Generally, an approximate solution can be obtained by using only a few terms. However, in applications, we need to use it flexibly according to the real problem. In this paper, based on the ADM, we give a modified asymptotic Adomian decomposition method and use it to solve the nonlinear Boussinesq equation describing groundwater flows. The example shows effectiveness of the modified asymptotic Adomian decomposition method.

关键词: physical aging, polyvinyl chloride (PVC), glass transition temperature, creep, groundwater flow, Boussinesq equation, Adomian decomposition, asymptotic Adomian decomposition

Abstract: The Adomian decomposition method (ADM) is an approximate analytic method for solving nonlinear equations. Generally, an approximate solution can be obtained by using only a few terms. However, in applications, we need to use it flexibly according to the real problem. In this paper, based on the ADM, we give a modified asymptotic Adomian decomposition method and use it to solve the nonlinear Boussinesq equation describing groundwater flows. The example shows effectiveness of the modified asymptotic Adomian decomposition method.

Key words: physical aging, polyvinyl chloride (PVC), glass transition temperature, creep, groundwater flow, Boussinesq equation, Adomian decomposition, asymptotic Adomian decomposition

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