时空径向基函数配点法在计算二维地下水非稳定流动问题中的应用

本文中使用的径向基函数配点法是以时空配点法为基础来解决抛物型方程的一类问题。这种方法与近似求时间导数的隐式,显式法以及其他数值法不同,它不需要对离散系统的时间稳定性进行分析。用时空径向基函数配点法求解二维地下水非稳定流动问题,通过呈现有混合边界条件及只有一类边界条件两种情况下的计算结果,说明了该方法求解该问题的精度及效率较高,结果理想。

Application of Time-space Radial Basis Function Collocation Method in Calculating Two-Dimensional Groundwater Unsteady Flow Problem

The radial basis function collocation method used in this paper is based on the space-time collocation method to solve a class of problems of parabolic equations.This method differs from the implicit,explicit,and other numerical methods that approximate the time derivative,and does not require analysis of the temporal stability of discrete systems.The space-time radial basis function matching method is used to solve the two-dimensional groundwater unsteady flow problem.The calculation results with mixed boundary conditions and only one kind of boundary conditions show that the method has higher accuracy and efficiency.The result is ideal.