重心插值配点法求解一类正则长波方程  

A Barycentric Interpolation Collocation Method for Solving A Class of Regularized Long Wave Equations

作　　者：谢晓波 庞晶[1,2] XIE Xiao-bo;PANG Jing(College of Sciences,Inner Mongolia University of Technology,Hohhot 010051,China;Inner Mongolia Key Laboratory,Inner Mongolia University of Technology,Hohhot 010051,China)

机构地区：[1]内蒙古工业大学理学院,内蒙古呼和浩特010051 [2]内蒙古自治区重点实验室(内蒙古工业大学),内蒙古呼和浩特010051

出　　处：《内蒙古工业大学学报（自然科学版）》2019年第6期401-406,共6页Journal of Inner Mongolia University of Technology：Natural Science Edition

基　　金：国家自然科学基金项目(10561151)。

摘　　要：正则长波方程(RLW)在应用科学的较多领域中都起着重大作用,并且已有多种数值方法求解了该类方程.为获得更高的数值精度,在本文中引进了重心插值配点法,用于求解该类方程.As the regularized long wave equation plays an important role in many fields of applied science,many numerical methods have been used to solve this kind of equation.In order to obtain higher numerical accuracy,the barycentric interpolation collocation method is introduced to solve this kind of equation.

关 键 词：正则长波方程 重心插值配点法 直接线性化迭代 Newton-Raphson迭代 

分 类 号：O175.6[理学—数学]