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

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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.

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Authors and Affiliations

  1. Key Laboratory for Mechanics in Fluid Solid Coupling Systems, Institute of Mechanics, Chinese Academy of Sciences, Beijing, 100190, P. R. China

    Fang Chen  (陈 芳) & Qing-quan Liu  (刘青泉)

Authors
  1. Fang Chen  (陈 芳)
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  2. Qing-quan Liu  (刘青泉)
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Corresponding author

Correspondence to Qing-quan Liu  (刘青泉).

Additional information

Project supported by the National Natural Science Funds of China for Distinguished Young Scholars (No. 10825211), the Key Project of Natural Science Foundation of China (No. 10932012), and the Beijing Natural Science Foundation (No. 1122015)

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Chen, F., Liu, Qq. Modified asymptotic Adomian decomposition method for solving Boussinesq equation of groundwater flow. Appl. Math. Mech.-Engl. Ed. 35, 481–488 (2014). https://doi.org/10.1007/s10483-014-1806-7

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  • DOI: https://doi.org/10.1007/s10483-014-1806-7

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Chinese Library Classification

2010 Mathematics Subject Classification

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