An Approximate Analytical Solution of Boussinesq's Equation for Infiltration Phenomenon in Unsaturated Porous Medium


Abstract views: 21 / PDF downloads: 17

Authors

  • Mahendra A. Patel Department of Mathematics, Government Engineering College, Gandhinagar, Gujarat, India
  • N. B. Desai Department of Mathematics, A. D. Patel Institute of Technology, New V. V. Nagar, Gujarat, India

Keywords:

Infiltration, Porous medium, Boussinesq's equation, Homotopy analysis method

Abstract

The present paper discusses the infiltration phenomenon for unsaturated porous medium. The mathematical formulation leads to a one dimensional nonlinear partial differential equation in the form of Boussinesq's equation. An approximate analytical solution of Boussinesq's equation for infiltration phenomenon have been obtained. The homotopy analysis method applied to solve Boussinesq's equation with appropriate boundary conditions. The Mathematica BVPh package for homotopy analysis method has been used to interpret numerically and graphically of solution.

 

Author Biographies

Mahendra A. Patel, Department of Mathematics, Government Engineering College, Gandhinagar, Gujarat, India

 

 

N. B. Desai, Department of Mathematics, A. D. Patel Institute of Technology, New V. V. Nagar, Gujarat, India

 

 

Downloads

Published

15-02-2018

How to Cite

Mahendra A. Patel, & N. B. Desai. (2018). An Approximate Analytical Solution of Boussinesq’s Equation for Infiltration Phenomenon in Unsaturated Porous Medium. International Journal of Mathematics And Its Applications, 6(1 - C), 463–470. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/1090

Issue

Vol. 6 No. 1 - C (2018)

Section

Research Article

License

Copyright (c) 2023 International Journal of Mathematics And its Applications

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.