Approximate Analytical Solution of Non-Linear Boussinesq Equation for the Unsteady Ground Water Flow in an Unconfined Aquifer by Homotopy Perturbation Transform Method
D. Mishra, V. Pradhan, and M. Mehta. Applied Mathematics and Sciences: An International Journal (MathSJ), 2 (2):
01-14(June 2015)
Abstract
For one dimensional homogeneous, isotropic aquifer, without accretion the governing Boussinesq equation under Dupuit assumptions is a nonlinear partial differential equation. In the present paper approximate analytical solution of nonlinear Boussinesq equation is obtained using Homotopy perturbation transform method(HPTM). The solution is compared with the exact solution. The comparison shows that the HPTM is efficient, accurate and reliable. The analysis of two important aquifer parameters namely viz. specific yield and hydraulic conductivity is studied to see the effects on the height of water table. The results resemble well with the physical phenomena.
%0 Journal Article
%1 noauthororeditor
%A Mishra, Deepti
%A Pradhan, Vikas
%A Mehta, Manoj
%D 2015
%J Applied Mathematics and Sciences: An International Journal (MathSJ)
%K Aquifers Boussinesq Dupuit Homotopy assumptions equation interaction method perturbation stream-aquifer transform
%N 2
%P 01-14
%T Approximate Analytical Solution of Non-Linear Boussinesq Equation for the Unsteady Ground Water Flow in an Unconfined Aquifer by Homotopy Perturbation Transform Method
%U https://airccse.com/mathsj/papers/2215mathsj01.pdf
%V 2
%X For one dimensional homogeneous, isotropic aquifer, without accretion the governing Boussinesq equation under Dupuit assumptions is a nonlinear partial differential equation. In the present paper approximate analytical solution of nonlinear Boussinesq equation is obtained using Homotopy perturbation transform method(HPTM). The solution is compared with the exact solution. The comparison shows that the HPTM is efficient, accurate and reliable. The analysis of two important aquifer parameters namely viz. specific yield and hydraulic conductivity is studied to see the effects on the height of water table. The results resemble well with the physical phenomena.
@article{noauthororeditor,
abstract = {For one dimensional homogeneous, isotropic aquifer, without accretion the governing Boussinesq equation under Dupuit assumptions is a nonlinear partial differential equation. In the present paper approximate analytical solution of nonlinear Boussinesq equation is obtained using Homotopy perturbation transform method(HPTM). The solution is compared with the exact solution. The comparison shows that the HPTM is efficient, accurate and reliable. The analysis of two important aquifer parameters namely viz. specific yield and hydraulic conductivity is studied to see the effects on the height of water table. The results resemble well with the physical phenomena.
},
added-at = {2022-11-10T08:03:38.000+0100},
author = {Mishra, Deepti and Pradhan, Vikas and Mehta, Manoj},
biburl = {https://www.bibsonomy.org/bibtex/2773426b218fc96e0ec9dcbc12d89c04c/journalmathsj},
interhash = {e080d9ff51ab582f45880437c02d4037},
intrahash = {773426b218fc96e0ec9dcbc12d89c04c},
issn = {2349 - 6223},
journal = {Applied Mathematics and Sciences: An International Journal (MathSJ)},
keywords = {Aquifers Boussinesq Dupuit Homotopy assumptions equation interaction method perturbation stream-aquifer transform},
language = {English},
month = {June},
number = 2,
pages = {01-14},
timestamp = {2022-11-10T08:03:38.000+0100},
title = {Approximate Analytical Solution of Non-Linear Boussinesq Equation for the Unsteady Ground Water Flow in an Unconfined Aquifer by Homotopy Perturbation Transform Method},
url = {https://airccse.com/mathsj/papers/2215mathsj01.pdf},
volume = 2,
year = 2015
}