An approximate analytical solution of Richards' equation

DOI10.1515/IJNSNS-2015-0034zbMath1401.35147OpenAlexW2561882824MaRDI QIDQ1657475

Ying Dai, Xi Chen

Publication date: 13 August 2018

Published in: International Journal of Nonlinear Sciences and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ijnsns-2015-0034

zbMATH Keywords

equationdifferential transform methodtraveling wave solutionapproximation analytical solutionRichards'

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Series solutions to PDEs (35C10) Second-order parabolic equations (35K10) Traveling wave solutions (35C07)

Related Items (2)

Approximate analytical solution for Richards' equation with finite constant water head Dirichlet boundary conditions ⋮ Wetting front analysis of the Richards' equation with impervious boundary

Cites Work

• Application of differential transformation to eigenvalue problems
• On the two-dimensional differential transform method
• Solving partial differential equations by two-dimensional differential transform method
• Differential transform-Padé technique for treating non-linear singular boundary value problems arising in the applied sciences
• A new coupled fractional reduced differential transform method for solving time fractional coupled KdV equations
• On the remarkable nonlinear diffusion equation (∂/∂x)[a (u+b)−2(∂u/∂x)−(∂u/∂t)=0]

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