A finite point algorithm for soil water-salt movement equation

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 stabili...

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Published inAdvances in difference equations Vol. 2021; no. 1; pp. 1 - 19
Main Authors Li, Fenhong, Hu, Gang, Abdeljawad, Thabet, Abbas, Muhammad
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 22.03.2021
Springer Nature B.V
SpringerOpen
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ISSN1687-1847
1687-1839
1687-1847
DOI10.1186/s13662-021-03281-4

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Summary: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.
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ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/s13662-021-03281-4