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 in | Advances in difference equations Vol. 2021; no. 1; pp. 1 - 19 |
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Main Authors | , , , |
Format | Journal Article |
Language | English |
Published |
Cham
Springer International Publishing
22.03.2021
Springer Nature B.V SpringerOpen |
Subjects | |
Online Access | Get full text |
ISSN | 1687-1847 1687-1839 1687-1847 |
DOI | 10.1186/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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Bibliography: | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
ISSN: | 1687-1847 1687-1839 1687-1847 |
DOI: | 10.1186/s13662-021-03281-4 |