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
  • 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)

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

2010 MSC Number: 

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