Differential transform method for solving Richards' equation

DOI10.1007/S10483-016-2023-8zbMath1336.35110OpenAlexW2292531719WikidataQ115384269 ScholiaQ115384269MaRDI QIDQ285741

Xi Chen, Ying Dai

Publication date: 19 May 2016

Published in: AMM. Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-016-2023-8

zbMATH Keywords

approximate analytical solutiondifferential transform method (DTM)intermediate variableRichards' equation

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Flows in porous media; filtration; seepage (76S05) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Series solutions to PDEs (35C10)

Related Items (4)

An approximate analytical solution of Richards equation with finite boundary ⋮ Unnamed Item ⋮ 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

• Unnamed Item
• Solution of the boundary layer equation of the power-law pseudoplastic fluid using differential transform method
• Approximate solutions to MHD Falkner-Skan flow over permeable wall
• 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 transformation method for studying flow and heat transfer due to stretching sheet embedded in porous medium with variable thickness, variable thermal conductivity, and thermal radiation
• Solution of difference equations by using differential transform method
• Solution of boundary value problems for integro-differential equations by using differential transform method

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