西北师范大学学报（自然科学版）
西北師範大學學報（自然科學版）
서북사범대학학보（자연과학판）
JOURNAL OF NORTHWEST NORMAL UNIVERSITY(NATURAL SCIENCE)
2013年
6期
35-40
,共6页
孙建安%吴广智%贾伟
孫建安%吳廣智%賈偉
손건안%오엄지%가위
改进余弦微分求积法%对流方程%RLW方程%数值解
改進餘絃微分求積法%對流方程%RLW方程%數值解
개진여현미분구적법%대류방정%RLW방정%수치해
improved cosine expansion-based differential quadrature method%diffusion-convection equation%RLW equation%numerical solutions
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。
採用將節點分為單雙號的方法對餘絃微分求積法（CDQM ）進行瞭改進，併用改進後的算法構造瞭求解對流方程與RLW方程的數值格式，求得瞭4箇算例的數值解。通過與原餘絃微分求積法所得數值解的比較，錶明改進後的算法精確度更高。
채용장절점분위단쌍호적방법대여현미분구적법（CDQM ）진행료개진，병용개진후적산법구조료구해대류방정여RLW방정적수치격식，구득료4개산례적수치해。통과여원여현미분구적법소득수치해적비교，표명개진후적산법정학도경고。
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 .
