以RBF作为LDQ方法的基函数,建立具有迎风格式的LDQ方法,将此方法用在解Burgers方程上,并与传统的无网格方法比较.该方法先要建立一个局部支撑域,在处理对流项离散时选用该局部支撑域,而在处理扩散项离散时根据流动速度的移动方向来选择局部支撑域,然后建立局部线性方程组,再推广成全局形式,以获得方程组的近似解.实验结果表明该方法具有较高的数值精度.%The differential quadrature method based on radial basis function with upwind scheme is proposed for solving the Burgers equations,and its numerical performance is compared with traditional LDQ method.Firstly a local support domain is created,and the diffusion term is discretized by choosing the original support domain,while the convection term is discretized by shifting the support domain according to the stream line direction.The discrete nodes of the support domain are used to construct a low order linear system for obtaining the coefficients of equations,then extended to global for obtain the approximate solutions for the Burgers equation.Numerical results show the methods have higher accuracy for solving the Burgers equations.
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