On the modified groundwater flow equation: analytical solution via iteration method |
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Authors: | Abdon Atangana Ernestine Alabaraoye |
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Affiliation: | Faculty of Natural and Agricultural Sciences, Institute for Groundwater Studies, University of the Free State, Bloemfontein, South Africa |
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Abstract: | To take into account the variability of the medium through which the groundwater flow takes place, we presented the groundwater flow equation within a confined aquifer with prolate coordinates. The new equation is a perturbed singular equation. The perturbed parameters is introduced and can be used as accurately replicate the variability of the aquifer from one point to another. When the perturbed parameter tends to zero, we recover the Theis equation. We solved analytically and iteratively the new equation. We compared the obtained solution with experimental observed data together with existing solutions. The comparison shows that the modified equation predicts more accurately the physical problem than the existing model. Copyright © 2015 John Wiley & Sons, Ltd. |
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Keywords: | shape approximation prolate coordinates confined aquifers uncertainties factors Sumudu homotopy method and Laplace decomposition method |
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