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Numerical Solution for One-Dimensional Richards' Equation Using Differential Quadrature Method


Affiliations
1 Department of Engineering, Yasoj Branch, Islamic Azad University, Yasoj, Iran, Islamic Republic of
2 Department of Agriculture, Isfahan University of Technology, Isfahan, Iran, Islamic Republic of
3 Department of Engineering, Ayatollah Amoli Branch, Islamic Azad University, Amol, Iran, Islamic Republic of
 

Nonlinear nature of Richards' equation has attracted attention for providing analytical and numerical solution for this equation. In the present study, differential quadrature method (DQM) is used for presenting a numerical solution for one-dimensional Richards' equation in mixed and h-based forms, where pressure head is the dependent variable. Our results show that DQM requires less computational effort compared to finite difference technique, and can be applied for solving other similar nonlinear equations.

Keywords

Differential Quadrature Method, Finite Difference Technique, Nonlinear Equation, Numerical Solution, Unsaturated Zone.
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  • Numerical Solution for One-Dimensional Richards' Equation Using Differential Quadrature Method

Abstract Views: 393  |  PDF Views: 131

Authors

Jamshid Nikzad
Department of Engineering, Yasoj Branch, Islamic Azad University, Yasoj, Iran, Islamic Republic of
Seyed Saeid Eslamian
Department of Agriculture, Isfahan University of Technology, Isfahan, Iran, Islamic Republic of
Mostafa Soleymannejad
Department of Engineering, Ayatollah Amoli Branch, Islamic Azad University, Amol, Iran, Islamic Republic of
Amir Karimpour
Department of Engineering, Yasoj Branch, Islamic Azad University, Yasoj, Iran, Islamic Republic of

Abstract


Nonlinear nature of Richards' equation has attracted attention for providing analytical and numerical solution for this equation. In the present study, differential quadrature method (DQM) is used for presenting a numerical solution for one-dimensional Richards' equation in mixed and h-based forms, where pressure head is the dependent variable. Our results show that DQM requires less computational effort compared to finite difference technique, and can be applied for solving other similar nonlinear equations.

Keywords


Differential Quadrature Method, Finite Difference Technique, Nonlinear Equation, Numerical Solution, Unsaturated Zone.



DOI: https://doi.org/10.18520/cs%2Fv111%2Fi6%2F1028-1036