A Computational Method for the Solution of Nonlinear Burgers Equation Arising in Longitudinal Dispersion Phenomena in Fluid Flow through Porous Media
Department of Mathematical and Physical Sciences, Computational Mathematics Research Group, Osun State University, Osogbo, Nigeria
- *Corresponding Author:
- Olayiwola MO
Department of Mathematical and Physical Sciences
Computational Mathematics Research Group
Osun State University, Osogbo, Nigeria
E-mail: [email protected]
Received Date: January 07, 2016 Accepted Date: February 04, 2016 Published Date: February 10, 2016
Citation: Olayiwola MO (2016) A Computational Method for the Solution of Nonlinear Burgers’ Equation Arising in Longitudinal Dispersion Phenomena in Fluid Flow through Porous Media. J Appl Computat Math 5:284. doi:10.4172/2168-9679.1000284
Copyright: © 2016 Olayiwola MO. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
This paper discusses the Modified Variational Iteration Method (MVIM) for the solution of nonlinear Burgers’ equation arising in longitudinal dispersion phenomena in fluid flow through porous media. The method is an elegant combination of Taylor’s series and the variational iteration method (VIM). Using Maple 18 for implementation, it is observed the procedure provides rapidly convergent approximation with less computational efforts. The result shows that the concentration C(x,t) of the contaminated water decreases as distance x increases for the given time t.