A solution of one-dimensional dispersion phenomenon by Homotopy Analysis Method
Journal Title: International Journal of Modern Engineering Research (IJMER) - Year 2013, Vol 3, Issue 6
Abstract
The present paper discusses solution of dispersion phenomenon by using Homotopy analysis method. Solution represents concentrations of any contaminated or salt water disperse in homogenous porous media saturated with fresh water. The solution of non-linear partial differential equation has been obtained in term of series solution of exponential function of X and time T under assumption of guess value of concentration of contaminated or salt water. Here solution converges for parameter 1 for embedded parameter 0.1. The graphical presentation is given by using Maple coding. It is concluded that concentration of contaminated or salt water dispersion is decreasing when distance X as well as time T increasing and convergence of the solution has been discussed.
Authors and Affiliations
Kajal Patel
Keywords
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