Title of article :
AN APPROXIMATE ANALYTICAL SOLUTION OF ONE-DIMENSIONAL GROUNDWATER RECHARGE BY SPREADING
Author/Authors :
PATEL, M. A Government Engineering College - Gandhinagar - Gujarat, India , DESAI, N. B A. D. Patel Institute of Technology - New V. V. Nagar - Gujarat, India
Abstract :
The present paper discusses the problem of one dimensional groundwater
recharge in the vertical direction. The groundwater is recharged by spreading of water
in vertical direction and the moisture content of soil increases. On the basis of linear and
nonlinear conductivity and diffusivity functions, three cases are considered for BrooksCorey model. The governing nonlinear partial differential equations has been solved by
homotopy analysis method. The proper value of convergence control parameter for convergent solution has been chosen from c0-curve. The numerical and graphical solutions
are presented.
Keywords :
Groundwater , Moisture content , HAM
Journal title :
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics