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

作　　者：孙建安[1] 吴广智[1] 贾伟[1] 

机构地区：[1]西北师范大学物理与电子工程学院,甘肃兰州730070

出　　处：《西北师范大学学报（自然科学版）》2013年第6期35-40,共6页Journal of Northwest Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(10875098);西北师范大学科技创新工程基金资助项目(NWNU-KJCXGC-0348)

摘　　要：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 .

关 键 词：改进余弦微分求积法 对流方程 RLW方程 数值解 

分 类 号：O175.7[理学—数学] O415[理学—基础数学]