TITLE:
A Solution of the Burger’s Equation Arising in the Longitudinal Dispersion Phenomenon in Fluid Flow through Porous Media by Mixture of New Integral Transform and Homotopy Perturbation Method
AUTHORS:
Kunjan Shah, Twinkle Singh
KEYWORDS:
Longitudinal Dispersion Phenomenon, Porous Media, New Integral Transform, Homotopy Perturbation Method
JOURNAL NAME:
Journal of Geoscience and Environment Protection,
Vol.3 No.4,
June
26,
2015
ABSTRACT: The main
aim of the paper is to examine the concentration of the longitudinal dispersion
phenomenon arising in fluid flow through porous media. These phenomenon yields
a partial differential equation namely Burger’s equation, which is solved by
mixture of the new integral transform and the homotopy perturbation method
under suitable conditions and the standard assumption. This method provides an
analytical approximation in a rapidly convergent sequence with in exclusive
manner computed terms. Its rapid convergence shows that the method is
trustworthy and introduces a significant improvement in solving nonlinear
partial differential equations over existing methods. It is concluded that the
behaviour of concentration in longitudinal dispersion phenomenon is decreases
as distance x is increasing with fixed
time t > 0 and slightly increases
with time t.