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    New Analytical Solution to Water Content Simulation in Porous Media

    Source: Journal of Irrigation and Drainage Engineering:;2012:;Volume ( 138 ):;issue: 004
    Author:
    M. Nasseri
    ,
    Y. Daneshbod
    ,
    M. D. Pirouz
    ,
    Gh. R. Rakhshandehroo
    ,
    A. Shirzad
    DOI: 10.1061/(ASCE)IR.1943-4774.0000421
    Publisher: American Society of Civil Engineers
    Abstract: The nonlinear advection-diffusion equation, also known as Richard’s equation, is one of the most famous equations expressing water content in unsaturated porous media with broad applications in hydrology, engineering, and soil sciences. Because of the inherent nonlinearity in the equation, its closed-form analytical solution is rare. The traveling wave solution (TWS) is one of the recent exact approaches used in solving nonlinear partial differential equations (PDEs) and seems to be a suitable and efficient approach to obtain analytical solutions for Richard's equation. This paper presents three major cases of Richard’s equation that are tackled with the TWS method using general and modified forms of
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      New Analytical Solution to Water Content Simulation in Porous Media

    URI
    https://yetl.yabesh.ir/yetl1/handle/yetl/65324
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    • Journal of Irrigation and Drainage Engineering

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    contributor authorM. Nasseri
    contributor authorY. Daneshbod
    contributor authorM. D. Pirouz
    contributor authorGh. R. Rakhshandehroo
    contributor authorA. Shirzad
    date accessioned2017-05-08T21:53:07Z
    date available2017-05-08T21:53:07Z
    date copyrightApril 2012
    date issued2012
    identifier other%28asce%29ir%2E1943-4774%2E0000449.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/65324
    description abstractThe nonlinear advection-diffusion equation, also known as Richard’s equation, is one of the most famous equations expressing water content in unsaturated porous media with broad applications in hydrology, engineering, and soil sciences. Because of the inherent nonlinearity in the equation, its closed-form analytical solution is rare. The traveling wave solution (TWS) is one of the recent exact approaches used in solving nonlinear partial differential equations (PDEs) and seems to be a suitable and efficient approach to obtain analytical solutions for Richard's equation. This paper presents three major cases of Richard’s equation that are tackled with the TWS method using general and modified forms of
    publisherAmerican Society of Civil Engineers
    titleNew Analytical Solution to Water Content Simulation in Porous Media
    typeJournal Paper
    journal volume138
    journal issue4
    journal titleJournal of Irrigation and Drainage Engineering
    identifier doi10.1061/(ASCE)IR.1943-4774.0000421
    treeJournal of Irrigation and Drainage Engineering:;2012:;Volume ( 138 ):;issue: 004
    contenttypeFulltext
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