改进余弦微分求积法数值求解RLW方程

Improved cosine expansion-based differential quadrature method and its application in solving the RLW equation

采用将节点分为单双号的方法对余弦微分求积法(CDQM)进行了改进,并用改进后的算法构造了求解对流方程与RLW方程的数值格式,求得了4个算例的数值解.通过与原余弦微分求积法所得数值解的比较,表明改进后的算法精确度更高.

In this paper , an improved cosine expansion-based differential quadrature method （CDQM ） is presented by using odd number nodal points and even number nodal points , then a numerical scheme for solving diffusion-convection equation and RLW equation is established by the improved method . As an example , the numerical solutions of four examples are obtained . It is shown that the numerical results of the improved algorithm have higher accuracy as compared with the original CDQM .