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.
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The author would like to thank the referee for the valuable comments and helpful suggestions. A special thanks for the editor, for his valuable time spent to evaluate this manuscript.
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ATANGANA, A. A generalized advection dispersion equation. J Earth Syst Sci 123, 101–108 (2014). https://doi.org/10.1007/s12040-013-0389-5
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DOI: https://doi.org/10.1007/s12040-013-0389-5