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Differential transform method for solving Richards’ equation

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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.

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Authors and Affiliations

  1. School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai, 200000, China

    Xi Chen & Ying Dai

Authors
  1. Xi Chen
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  2. Ying Dai
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Correspondence to Ying Dai.

Additional information

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

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Chen, X., Dai, Y. Differential transform method for solving Richards’ equation. Appl. Math. Mech.-Engl. Ed. 37, 169–180 (2016). https://doi.org/10.1007/s10483-016-2023-8

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  • DOI: https://doi.org/10.1007/s10483-016-2023-8

Keywords

Chinese Library Classification

2010 Mathematics Subject Classification

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