求解KDV方程的多重网格波形松弛方法  

Explore the Method of Multi-grid Waveform Relaxation to Solve KDV Equation

作　　者：王爽[1] 陈丽 WANG Shuang;CHEN Li(School of Mathematical Sciences,Xinjiang Normal University,Urumqi,Xinjiang,830017,China)

机构地区：[1]新疆师范大学数学科学学院,新疆乌鲁木齐830017

出　　处：《新疆师范大学学报（自然科学版）》2020年第1期39-41,共3页Journal of Xinjiang Normal University(Natural Sciences Edition)

基　　金：新疆师范大学“十三五”校级重点学科招标课题(17SDKD1106);新疆师范大学重点实验室招标课题(XJNUSYS082018B03)等资助。

摘　　要：文章主要探讨求解KDV方程的多重网格波形松弛方法,这种方法可以通过粗网格到细网格的延拓算子以及反向限制算子,将细网格上迭代误差的低频分量转换到粗网格上来处理,以便容易计算。This paper mainly discusses the multi-grid waveform relaxation method to solve the KDV equation,which can convert the low-frequency component of iteration error on the fine grid to the coarse grid through the continuation operator and the reverse restriction operator,so as to make the calculation easier.

关 键 词：KDV方程 多重网格 Gauss-Seidel松弛法 

分 类 号：O175[理学—数学]