A finite point algorithm for soil water-salt movement equation

Advances in Difference Equations

Fenhong Li¹  Thabet Abdeljawad²  Muhammad Abbas³  Gang Hu⁴ 

[1] College of Mathematics and Computer Application, Shangluo University, 726000, Shangluo, China;Department of Mathematics and General Sciences, Prince Sultan University, 11586, Riyadh, Saudi Arabia;Department of Medical Research, China Medical University, 40402, Taichung, Taiwan;Department of Computer Science and Information Engineering, Asia University, Taichung, Taiwan;Department of Mathematics, University of Sargodha, 40100, Sargodha, Pakistan;Department of Mathematics, Xi’an Traffic Engineering Institute, 710300, Xi’an, China;

关键词: Finite point method;    Soil water and salt movement equation;    Upwind scheme;    Collocation method;    26A33;    35R11;    65M06;    65M12;    65F40;    65F50;    65H10;    65N06;   

DOI  :  10.1186/s13662-021-03281-4

来源: Springer

【 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