Ridge Basis Functions Collocation Method for Soil Water Movement Equations Under Infiltration with Two Point-source Emitters

Abstract

Numerical simulation is an important method to research the soil y water infiltration under two point-source emitters. In order to improve the simulation precision and the practicability of numerical solution, a meshfree method based on ridge basis functions collocation method (RBFCM) is developed for solving 2D water movement equations in unsaturated soil under infiltration. The ridge basis functions are used as approximating functions to construct the method for the numerical solution of the water movement equations. The iterative method is used in solving the nonlinear matrix equation derived from water movement equations based on RBFCM. Compared with the traditional finite difference method and finite element method, the new method reduces the calculation time and calculation error. The numerical results of realistic water movement in unsaturated soil under infiltration meet the demands of actual problems well.