Open AccessNUMERICAL SIMULATION OF THE MOVEMENT OF MOISTURE IN THE SOIL
Author(s) -
Rakhat Kayypbekovna Sagyndykova,
A.T. Dyykanova,
S.T. Zhusupbekova
Publication year - 2021
Publication title -
vestnik kyrgyzskogo gosudarstvennogo universiteta stroitelʹstva, transporta i arhitektury im.n.isanova/n.isanov atyndagy kyrgyz mamlekettik kuruluš,transport žana arhitektura universitetinin žarčysy
Language(s) - English
Resource type - Journals
eISSN - 1694-8181
pISSN - 1694-5298
DOI - 10.35803/1694-5298.2021.4.588-594
Subject(s) - mathematics , basis (linear algebra) , radial basis function , uniqueness , collocation method , collocation (remote sensing) , partial differential equation , numerical analysis , boundary value problem , differential equation , nonlinear system , mathematical analysis , geometry , computer science , ordinary differential equation , physics , quantum mechanics , machine learning , artificial neural network
By constructing the method of collocation of radial basis functions in combination with the method of differences, a two-dimensional mathematical model with boundary conditions for the movement of soil water during irrigation is proposed. The nonlinear term is considered by the difference method, and the equation is solved using an implicit scheme. In addition, the existence and uniqueness of the solution of the equation of motion of groundwater is proved.Radial basis functions, also known as distance basis functions, are a type of functions with a base variable. They are isotropic and simple in form and can be easily solved by numerical calculation. The method combining radial basis functions with collocation has many advantages in solving partial differential equations. Numerical results show that the proposed method has high accuracy and is easier to use than traditional methods. In addition, the choice of parameter c plays an important role in ensuring the accuracy of calculations. This lays the foundation for numerical solutions of high-dimensional equations of groundwater motion.