Application of Differential Transform Method in Richards' Equation

DOI

10.2991/ifeesd-16.2016.27How to use a DOI?

Keywords

differential transform method, Richards' equation, intermediate variable, approximate analytical solution.

Abstract

An approximate analytical solution of Richards' equation was derived by the differential transform method (DTM) in this paper. The basic idea is that the Richards' equation can be converted to an ordinary differential equation (ODE) by introducing the Boltzmann variable. Then DTM was applied to solve the resulting ODE. In the calculations, an intermediate variable was introduced in DTM for accelerating the convergence rate. In the end, an example was presented to demonstrate the accuracy of the present solution.

Copyright

© 2016, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Zhong Xinran
AU  - Ying Dai
AU  - Xi Chen
PY  - 2016/05
DA  - 2016/05
TI  - Application of Differential Transform Method in Richards' Equation
BT  - Proceedings of the 2016 International Forum on Energy, Environment and Sustainable Development
PB  - Atlantis Press
SP  - 156
EP  - 160
SN  - 2352-5401
UR  - https://doi.org/10.2991/ifeesd-16.2016.27
DO  - 10.2991/ifeesd-16.2016.27
ID  - Xinran2016/05
ER  -