Consideration of Transient Stream/Aquifer Interaction with the Nonlinear Boussinesq Equation using HPM

S. S. Ganji; Amin Barari; M. G. Sfahani; G. Domairry; P. Teimourzadeh Baboli

doi:10.1016/j.jksus.2010.07.011

Consideration of Transient Stream/Aquifer Interaction with the Nonlinear Boussinesq Equation using HPM

S. S. Ganji, Amin Barari, M. G. Sfahani, G. Domairry, P. Teimourzadeh Baboli

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

11 Citationer (Scopus)

Abstract

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.

Originalsprog	Engelsk
Tidsskrift	King Saud University Journal. Science
Vol/bind	23
Udgave nummer	2
Sider (fra-til)	211-216
Antal sider	6
ISSN	1018-3647
DOI	https://doi.org/10.1016/j.jksus.2010.07.011
Status	Udgivet - 2011

Emneord

Transient Stream Interactions
Transient Aquifer Interactions
Mathematical Model
Boussinesq Equation
Approximate Analytical Solution
Homotopy Perturbation Method
HPM

Adgang til dokumentet

10.1016/j.jksus.2010.07.011

http://www.sciencedirect.com/science/article/pii/S101836471000100X

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Citationsformater

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title = "Consideration of Transient Stream/Aquifer Interaction with the Nonlinear Boussinesq Equation using HPM",

abstract = "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.",

keywords = "Transient Stream Interactions, Transient Aquifer Interactions, Mathematical Model, Boussinesq Equation, Approximate Analytical Solution, Homotopy Perturbation Method, HPM, Transient Stream Interactions, Transient Aquifer Interactions, Mathematical Model, Boussinesq Equation, Approximate Analytical Solution, Homotopy Perturbation Method, HPM",

author = "Ganji, {S. S.} and Amin Barari and Sfahani, {M. G.} and G. Domairry and Baboli, {P. Teimourzadeh}",

year = "2011",

doi = "10.1016/j.jksus.2010.07.011",

language = "English",

volume = "23",

pages = "211--216",

journal = "King Saud University Journal. Science",

issn = "1018-3647",

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T1 - Consideration of Transient Stream/Aquifer Interaction with the Nonlinear Boussinesq Equation using HPM

AU - Ganji, S. S.

AU - Barari, Amin

AU - Sfahani, M. G.

AU - Domairry, G.

AU - Baboli, P. Teimourzadeh

PY - 2011

Y1 - 2011

N2 - 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.

AB - 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.

KW - Transient Stream Interactions

KW - Transient Aquifer Interactions

KW - Mathematical Model

KW - Boussinesq Equation

KW - Approximate Analytical Solution

KW - Homotopy Perturbation Method

KW - HPM

KW - Transient Stream Interactions

KW - Transient Aquifer Interactions

KW - Mathematical Model

KW - Boussinesq Equation

KW - Approximate Analytical Solution

KW - Homotopy Perturbation Method

KW - HPM

U2 - 10.1016/j.jksus.2010.07.011

DO - 10.1016/j.jksus.2010.07.011

M3 - Journal article

SN - 1018-3647

VL - 23

SP - 211

EP - 216

JO - King Saud University Journal. Science

JF - King Saud University Journal. Science

IS - 2

ER -

Consideration of Transient Stream/Aquifer Interaction with the Nonlinear Boussinesq Equation using HPM

Abstract

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