Wetting front analysis of the Richards' equation with impervious boundary

DOI10.1515/IJNSNS-2017-0084zbMath1401.35152OpenAlexW2883005677WikidataQ129500505 ScholiaQ129500505MaRDI QIDQ1787903

Xi Chen, Ying Dai

Publication date: 5 October 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-2017-0084

zbMATH Keywords

approximate analytical solutionRichards' equationpower law diffusivityimpervious layer

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Initial-boundary value problems for second-order parabolic equations (35K20) Flows in porous media; filtration; seepage (76S05) Series solutions to PDEs (35C10)

Cites Work

• Differential transform method for solving Richards' equation
• An approximate analytical solution of Richards' equation
• Differential transform-Padé technique for treating non-linear singular boundary value problems arising in the applied sciences
• Nonlinear diffusion in a finite layer

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