• A generalized advection dispersion equation

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    • Keywords


      Uncertain derivative; groundwater pollution model; variational iteration method.

    • Abstract


      This paper examines a possible effect of uncertainties, variability or heterogeneity of any dynamic system when being included in its evolution rule; the notion is illustrated with the advection dispersion equation, which describes the groundwater pollution model. An uncertain derivative is defined; some properties of the operator are presented. The operator is used to generalize the advection dispersion equation. The generalized equation differs from the standard equation in four properties. The generalized equation is solved via the variational iteration technique. Some illustrative figures are presented.

    • Author Affiliations


      Abdon Atangana1

      1. Institute for Groundwater Studies, Faculty of Natural and Agricultural Sciences, University of the Free State, Bloemfontein 9300, South Africa.
    • Dates

  • Journal of Earth System Science | News

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      Posted on July 25, 2019

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