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Mathematical Problems in Engineering
Volume 2014, Article ID 126398, 9 pages
http://dx.doi.org/10.1155/2014/126398
Research Article

Numerical Simulation of Soil Water Movement under Subsurface Irrigation

Department of Applied Mathematics, Xi’an University of Technology, Xi’an 710048, China

Received 30 April 2014; Revised 14 July 2014; Accepted 14 July 2014; Published 3 August 2014

Academic Editor: Kim M. Liew

Copyright © 2014 Xinqiang Qin et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

By constructing a radial basis function collocation method combined with a difference method, a two-dimensional mathematical model with boundary conditions of soil water movement under irrigation is proposed. The nonlinear term is dealt with a difference method and the equation is solved using an implicit scheme. In addition, the existence and uniqueness of the solution to the soil water movement equation are proven. Numerical results show that the proposed method has high precision and is easier to use than traditional methods. Moreover, the selection of parameter c plays an important role in guaranteeing calculation precision. It lays the foundation for the numerical solutions to high-dimensional soil water movement equations.