A finite point algorithm for soil water-salt movement equation

Advances in Difference Equations

article

Li, Fenhong¹  Hu, Gang²  Abdeljawad, Thabet³  Abbas, Muhammad⁶ 

[1] College of Mathematics and Computer Application, Shangluo University;Department of Mathematics, Xi’an Traffic Engineering Institute;Department of Mathematics and General Sciences, Prince Sultan University;Department of Medical Research, China Medical University;Department of Computer Science and Information Engineering, Asia University;Department of Mathematics, University of Sargodha

关键词: Finite point method;    Soil water and salt movement equation;    Upwind scheme;    Collocation method;   

DOI  :  10.1186/s13662-021-03281-4

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

In this paper, we propose the meshless finite point method for solving a type of fluid flow problem. The moving least square function is combined with the collocation method to treat nonlinear one- and two-dimensional soil water-salt movement equations. An adaptive windward scheme is used to stabilize the numerical solution in regions with a large gradient change. Numerical examples with the comparison among the proposed method, finite element method and characteristic finite element method show that the meshless finite point method is more accurate and is used to eliminate the numerical oscillation phenomenon.

【 授权许可】

CC BY