Numerical simulation of soil water movement under subsurface irrigation
type: Item
instance of: scholarly article
title: Numerical simulation of soil water movement under subsurface irrigation
zbMATH Open document ID: 1407.76108
DOI: 10.1155/2014/126398
author: Lijun Su
author: Xiaoqin Shen
author: Gang Hu
author: Xinqiang Qin
author: Xianbao Duan
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 76M22
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 86A05
zbMATH DE Number: 7015737
Wikidata QID: Q59062965
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/126398
OpenAlex ID: W2090048628
cites work: Smoothed particle hydrodynamics: theory and application to non-spherical stars
cites work: Generalizing the finite element method: Diffuse approximation and diffuse elements
cites work: Element‐free Galerkin methods
cites work: Improved error bounds for scattered data interpolation by radial basis functions
cites work: The natural element method in solid mechanics
cites work: Q4272394
cites work: Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
cites work: Meshless Galerkin methods using radial basis functions
cites work: Q3146889
cites work: Generalized multiple scale reproducing kernel particle methods
cites work: An \(h\)-\(p\) adaptive method using clouds
cites work: THE PARTITION OF UNITY METHOD
cites work: A FINITE POINT METHOD IN COMPUTATIONAL MECHANICS. APPLICATIONS TO CONVECTIVE TRANSPORT AND FLUID FLOW
cites work: Q4943460
cites work: \(hp\)-meshless cloud method
cites work: A local boundary integral equation (LBIE) method in computational mechanics, and a meshless discretization approach
cites work: Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates
cites work: Solving differential equations with radial basis functions: Multilevel methods and smoothing
cites work: An algorithm for selecting a good value for the parameter \(c\) in radial basis function interpolation
cites work: A new class of radial basis functions with compact support
cites work: An improved element-free Galerkin method for numerical modeling of the biological population problems
cites work: Modeling of biological population problems using the element-free kp-Ritz method
cites work: Numerical analysis of generalized regularized long wave equation using the element-free kp-Ritz method
cites work: Meshless Galerkin least-squares method
cites work: On condition number of meshless collocation method using radial basis functions
cites work: Radial basis collocation methods for elliptic boundary value problems
cites work: Q3109094
description: scientific article; zbMATH DE number 7015737