The document discusses a study presented at the 1st International Scientific Conference on Applied Sciences and Engineering, focusing on a nonlinear Fokker-Planck diffusion-convection model related to groundwater recharge. The solution to the Fokker-Planck equation is transformed into Burger's equation and solved under specific conditions, with graphs illustrating volumetric soil water content at varying depths. Keywords include Burger's equation, one-dimensional flow, and porous media.

1. Abstract of Applied Sciences and Engineering, 2014, Vol.1
DOI: 10.18488/journal.1001/2014.1/1001.1
1st
International Scientific Conference on Applied
Sciences and Engineering
20-21 December, 2014
Pearl International Hotel, Kuala Lumpur, Malaysia
Conference Website: www.scihost.org
1
Paper ID: 521/14/1
st
ISCASE
Note on the Nonlinear Fokker-Planck Diffusion –Convection
Model Arising In Ground Water Recharge Problem by
Spreading In Fluid Flow through Porous Media
T. R. Singh1
--- R.K. Singh2
1
Applied Mathematics and Humanities Department, S.V. National Institute of Technology, Surat
2
Faculty of Science, The M S Univeristy, Vadodara
Abstract
The solution of non-linear equation of Fokker Planck diffusion-convection equation has
been converted into the Burger’s equation with appropriate value of the constant and it
has been solved by appropriate conditions. Its graphs are given for vs. x for different
time t. The solution represents the volumetric soil water content at different downward
depth.
Keywords: Burger’s equation, one dimensional flow, Porous media