Hermite Radial Basis Collocation Method for Unsaturated Soil Water Movement Equation
Joint Authors
Qin, Xinqiang
Su, Lijun
Wang, Jiao
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-04-08
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
Due to the nonlinear diffusion term, it is hard to use the collocation method to solve the unsaturated soil water movement equation directly.
In this paper, a nonmesh Hermite collocation method with radial basis functions was proposed to solve the nonlinear unsaturated soil water movement equation with the Neumann boundary condition.
By preprocessing the nonlinear diffusion term and using the Hermite radial basis function to deal with the Neumann boundary, the phenomenon that the collocation method cannot be used directly is avoided.
The numerical results of unsaturated soil moisture movement with Neumann boundary conditions on the regular and nonregular regions show that the new method improved the accuracy significantly, which can be used to solve the low precision problem for the traditional collocation method when simulating the Neumann boundary condition problem.
Moreover, the effectiveness and reliability of the algorithm are proved by the one-dimensional and two-dimensional engineering problem of soil water infiltration in arid area.
It can be applied to engineering problems.
American Psychological Association (APA)
Wang, Jiao& Su, Lijun& Qin, Xinqiang. 2018. Hermite Radial Basis Collocation Method for Unsaturated Soil Water Movement Equation. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-19.
https://search.emarefa.net/detail/BIM-1209243
Modern Language Association (MLA)
Wang, Jiao…[et al.]. Hermite Radial Basis Collocation Method for Unsaturated Soil Water Movement Equation. Mathematical Problems in Engineering No. 2018 (2018), pp.1-19.
https://search.emarefa.net/detail/BIM-1209243
American Medical Association (AMA)
Wang, Jiao& Su, Lijun& Qin, Xinqiang. Hermite Radial Basis Collocation Method for Unsaturated Soil Water Movement Equation. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-19.
https://search.emarefa.net/detail/BIM-1209243
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1209243