Two-Dimension Hydrodynamic Dispersion Equation with Seepage Velocity and Dispersion Coefficient as Function of Space and Time
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 wit...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/206942 |
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| author | Abdon Atangana S. C. Oukouomi Noutchie |
| author_facet | Abdon Atangana S. C. Oukouomi Noutchie |
| author_sort | Abdon Atangana |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-3f6546f7c16f47238b19926e7c4f8800 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-3f6546f7c16f47238b19926e7c4f88002025-02-03T01:03:00ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/206942206942Two-Dimension Hydrodynamic Dispersion Equation with Seepage Velocity and Dispersion Coefficient as Function of Space and TimeAbdon Atangana0S. C. Oukouomi Noutchie1Institute for Groundwater Studies, Faculty of Natural and Agricultural Sciences, University of the Free State, Bloemfontein 9300, South AfricaDepartment of Mathematical Sciences, North-West University, Mafikeng Campus, Mmabatho 2735, South AfricaThe 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.http://dx.doi.org/10.1155/2013/206942 |
| spellingShingle | Abdon Atangana S. C. Oukouomi Noutchie Two-Dimension Hydrodynamic Dispersion Equation with Seepage Velocity and Dispersion Coefficient as Function of Space and Time Abstract and Applied Analysis |
| title | Two-Dimension Hydrodynamic Dispersion Equation with Seepage Velocity and Dispersion Coefficient as Function of Space and Time |
| title_full | Two-Dimension Hydrodynamic Dispersion Equation with Seepage Velocity and Dispersion Coefficient as Function of Space and Time |
| title_fullStr | Two-Dimension Hydrodynamic Dispersion Equation with Seepage Velocity and Dispersion Coefficient as Function of Space and Time |
| title_full_unstemmed | Two-Dimension Hydrodynamic Dispersion Equation with Seepage Velocity and Dispersion Coefficient as Function of Space and Time |
| title_short | Two-Dimension Hydrodynamic Dispersion Equation with Seepage Velocity and Dispersion Coefficient as Function of Space and Time |
| title_sort | two dimension hydrodynamic dispersion equation with seepage velocity and dispersion coefficient as function of space and time |
| url | http://dx.doi.org/10.1155/2013/206942 |
| work_keys_str_mv | AT abdonatangana twodimensionhydrodynamicdispersionequationwithseepagevelocityanddispersioncoefficientasfunctionofspaceandtime AT scoukouominoutchie twodimensionhydrodynamicdispersionequationwithseepagevelocityanddispersioncoefficientasfunctionofspaceandtime |