New Frontiers in Communication and Intelligent Systems
An Approximate Analytical Approach of Water Transport in an Unsaturated Porous Medium by Modified Variational Iteration Method
Authors: Jyoti Yadav and Twinkle R. Singh
Publishing Date: 20-01-2023
ISBN: 978-81-95502-00-4
Abstract
One of the most familiar equations for examining the properties of infiltration in unsaturated regions of soil like a porous media is known as Richards' equation. The main aim of this paper is to illustrate the behaviour of the water transport problem in unsaturated soil. The Variational Iteration Method and the Modified Variational Iteration Method have been used to determine an approximate analytical solution for Richards Equation in different cases. A comparison of the solution has been made with the exact solution, Finite Difference Method, and Elzaki Adomain Decomposition Method (EADM) solutions. For the numerical and graphical representation, MAPLE and MATLAB software are used.
Keywords
Richard's Equation, Variational Iteration Method (VIM), Modified Variational Iteration Method (MVIM), Elzaki Adomain Decomposition Method (EADM), Infiltration.
Cite as
Jyoti Yadav and Twinkle R. Singh, "An Approximate Analytical Approach of Water Transport in an Unsaturated Porous Medium by Modified Variational Iteration Method", In: Rahul Srivastava and Aditya Kr. Singh Pundir (eds), New Frontiers in Communication and Intelligent Systems, SCRS, India, 2023, pp. 747-761. https://doi.org/10.52458/978-81-95502-00-4-74