Applied Mathematics and Mechanics (English Edition) ›› 2016, Vol. 37 ›› Issue (2): 169-180.doi: https://doi.org/10.1007/s10483-016-2023-8

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Differential transform method for solving Richards' equation

Xi CHEN, Ying DAI   

  1. School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200000, China
  • 收稿日期:2015-02-09 修回日期:2015-07-07 出版日期:2016-02-01 发布日期:2016-02-01
  • 通讯作者: Ying DAI E-mail:ydai@tongji.edu.cn
  • 基金资助:

    Project supported by the National Basic Research Program of China (973 Program) (No. 2011CB013800)

Differential transform method for solving Richards' equation

Xi CHEN, Ying DAI   

  1. School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200000, China
  • Received:2015-02-09 Revised:2015-07-07 Online:2016-02-01 Published:2016-02-01
  • Contact: Ying DAI E-mail:ydai@tongji.edu.cn
  • Supported by:

    Project supported by the National Basic Research Program of China (973 Program) (No. 2011CB013800)

摘要:

An approximate solution to Richards' equation is presented, mathematically describing a sort of unsaturated single phase fluid flow in porous media. The approach is a differential transform method (DTM) with intermediate variables. Two examples are given to demonstrate the accuracy of the presented solution.

关键词: intermediate variable, Richards' equation, differential transform method (DTM), approximate analytical solution

Abstract:

An approximate solution to Richards' equation is presented, mathematically describing a sort of unsaturated single phase fluid flow in porous media. The approach is a differential transform method (DTM) with intermediate variables. Two examples are given to demonstrate the accuracy of the presented solution.

Key words: differential transform method (DTM), Richards' equation, intermediate variable, approximate analytical solution

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