Consideration of transient stream/aquifer interaction with the nonlinear Boussinesq equation using HPM

The phenomenon of stream–aquifer interaction was investigated via mathematical modeling using the Boussinesq equation. A new approximate solution of the one-dimensional Boussinesq equation is presented for a semi-infinite aquifer when the hydraulic head at the source is an arbitrary function of time...

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Bibliographic Details
Published in:Journal of King Saud University. Science 2011-04, Vol.23 (2), p.211-216
Main Authors: Ganji, S.S., Barari, A., Sfahani, M.G., Domairry, G., Baboli, P. Teimourzadeh
Format: Article
Language:English
Subjects:
Approximate analytical solution
Boussinesq equation
Homotopy Perturbation Method (HPM)
Mathematical model
Transient stream/aquifer interaction
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Summary:The phenomenon of stream–aquifer interaction was investigated via mathematical modeling using the Boussinesq equation. A new approximate solution of the one-dimensional Boussinesq equation is presented for a semi-infinite aquifer when the hydraulic head at the source is an arbitrary function of time. The differential equations were solved using the method of Homotopy Perturbation. The simplicity and accuracy of the approximation are compared with “exact” solution and illustrated numerically and graphically. The results reveal that the HPM is very effective and simple and provides highly accurate solutions for nonlinear differential equations.
ISSN:1018-3647
DOI:10.1016/j.jksus.2010.07.011