An Analytic Solution of Mathematical Model of Boussinq’s Equation in Homogeneous Porous Media During Infiltration of Groundwater Flow
Shreekant P. Pathak *
Department of Applied Mathematics and Humanities, S. V. National Institute of Technology, Surat 395007, Gujarat, India
Twinkle Singh
Department of Applied Mathematics and Humanities, S. V. National Institute of Technology, Surat 395007, Gujarat, India
*Author to whom correspondence should be addressed.
Abstract
The present paper discusses with the problem of groundwater given by Boussinesq’s equation infiltration phenomenon in unsaturated porous media. The governing nonlinear partial differential equation is solved using optimal homotopy analysis method. The solution gives a height of free surface of infiltrated water table in unsaturated homogeneous porous media (soil) by using appropriate initial guess value of the solution. The numerical as well as graphical representation of the solution is given by Mathematica coding.
Keywords: Boussinesq’s equation, unsaturated porous media, optimal homotopy analysis method, convergence control parameter, groundwater flow