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Application of Least-square Collocation Meshless Method in Simulation of Steady Groundwater Flow

SUI Xiao-yan,ZHOU De-liang(School of Mathematics,Liaoning Normal University,Dalian 116029,Liaoning)  
The Least square collocation meshless method is a new type of highly efficient meshless method.Except for nodes,a number of auxiliary points are introduced into the research field.Approximation functions are still structured using the nodes,differential equations are satisfied in all nodes and auxiliary points.This method is applied to numerically simulate the 2-D steady groundwater flow in heterogeneous porous media and the corresponding computer program is developed.The result shows that algorithm of the method is simple and have high accuracy and calculation speed.
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