June 22-27, 2014
The nonlinear Fokker-Planck equation arising for one-dimensional groundwater recharge through porous media, is in the form of partial differential equation which has been solved by using Homotopy Analysis method with the help of first approximate solution ()0,ZTθfor given auxiliary parameter 0q=. The solution is physically interpreted and concluded that during one-dimensional recharge through unsaturated porous media, the moisture content of the soil is parabolically increasing as depth Z increases for given0T>. The graph of the solution is given by using Maple coding.
Kajal Patel, Manoj Mehta, and Twinkle Singh, "An approximate solution of fokker-planck equation for one dimensional groundwater recharge through porous media" in "5th International Conference on Porous Media and Their Applications in Science, Engineering and Industry", Prof. Kambiz Vafai, University of California, Riverside; Prof. Adrian Bejan, Duke University; Prof. Akira Nakayama, Shizuoka University; Prof. Oronzio Manca, Seconda Università degli Studi Napoli Eds, ECI Symposium Series, (2014). http://dc.engconfintl.org/porous_media_V/50