耗散对称正则长波方程的有限体积元法  

Finite Volume Element Analysis for Dissipative SRLW Equations

作　　者：曹桂林[1] 何斯日古楞 李宏 李世凤[1] 

机构地区：[1]内蒙古大学数学科学学院,呼和浩特010021

出　　处：《内蒙古大学学报（自然科学版）》2015年第5期469-474,共6页Journal of Inner Mongolia University：Natural Science Edition

基　　金：国家自然科学基金(10361135);内蒙古自然科学基金(2014BS0101);内蒙古大学高层次人才基金(125132)

摘　　要：利用有限体积元法研究了具有阻尼项的耗散对称正则长波方程的数值解.从微分方程的积分守恒形式出发,利用插值算子,通过选取试探函数空间为一次有限元空间来导出半离散和全离散的数值格式,并分析了格式的最优阶误差估计.The numerical solution of the dissipative symmetric regularized long wave equation with damping term is studied by the finite volume element method. The method is based on the application of interpolation operators to an integral conservation reformulation of the original partial differental equation. Then the semi-discrete and fully discrete numerical schemes are established by selecting the trial function space as a linear finite element space. And the optimal order error estimates of the numerical scheme are given.

关 键 词：有限体积元方法 对称正则长波方程 最优阶误差估计 

分 类 号：O242.21[理学—计算数学]