Solution of one dimensional ground water recharge phenomenon by homotopy analysis method

Author

Mehta, M.N. ; Patel, Krunal Kumar ; Singh, Twinkle R.

Author_Institution

Dept. of Appl. Math. & Humanities, S.V. Nat. Inst. of Technol., Surat, India

fYear

2013

Firstpage

1

Lastpage

6

Abstract

In the present study, theoretical approach used to solve the problem of one dimensional non linear partial differential equation for moisture content of soil. The mathematical formulation leads to a non linear partial differential equation and its solution have been obtained by homotopy analysis method. The analytical results of the equation have been obtained in term of negative exponential terms, which represents the moisture content θ(Z, T) of soil for any depth Z, T > 0. The results reveal that this method is very efficient and can be applied to other nonlinear problems. All computations have been carried out using some Maple coding and graphical presentation is given.

Keywords

groundwater; moisture; soil; 1D groundwater recharge phenomenon; Maple coding; graphical presentation; homotopy analysis method; nonlinear partial differential equation; nonlinear problems; soil moisture content; Equations; Mathematical model; Media; Moisture; Partial differential equations; Perturbation methods; Soil; Aqueous diffusivity; Homotopy analysis method; Unsaturated porous media;

fLanguage

English

Publisher

ieee

Conference_Titel

Engineering (NUiCONE), 2013 Nirma University International Conference on

Conference_Location

Ahmedabad

Print_ISBN

978-1-4799-0726-7

Type

conf

DOI

10.1109/NUiCONE.2013.6780199

Filename

6780199