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Two-Dimension Hydrodynamic Dispersion Equation with Seepage Velocity and Dispersion Coefficient as Function of Space and Time

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  • Abdon Atangana
  • S. C. Oukouomi Noutchie

Abstract

The contamination through the geological formation cannot move and disperse with the same speed and dispersion coefficient, respectively, due to the variability of the geological formation. This paper is therefore first devoted to the description of the hydrodynamic advection dispersion equation with the seepage velocity and dispersion coefficient as function of space and time. Secondly the equation is solved via two analytical techniques: the homotopy decomposition method and the differential transform method. The numerical simulations of the approximated solutions are presented.

Suggested Citation

  • Abdon Atangana & S. C. Oukouomi Noutchie, 2013. "Two-Dimension Hydrodynamic Dispersion Equation with Seepage Velocity and Dispersion Coefficient as Function of Space and Time," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-7, June.
    • Handle: RePEc:hin:jnlaaa:206942
    DOI: 10.1155/2013/206942
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