Fully discrete two-step mixed element method for the symmetric regularized long wave equation  

作　　者：Meng Zhao Yang Liu Hong Li 

机构地区：[1]School of Mathematical Sciences Inner Mongolia University Hohhot 010021,P.R.China

出　　处：《International Journal of Modeling, Simulation, and Scientific Computing》2014年第3期88-103,共16页建模、仿真和科学计算国际期刊（英文）

基　　金：supported by the National Natural Science Fund of China(11061021,11301258 and 11361035);the Scientific Research Projection of Higher Schools of Inner Mongolia(NJZZ12011 and NJZY13199);the Natural Science Fund of Inner Mongolia Province(2012MS0106 and 2012MS0108);the Program of Higher-level talents of Inner Mongolia University(125119).

摘　　要：A numerical method based on the explicit two-step method in time direction and the mixed finite element method in spatial direction is presented for the symmetric regularized long wave(SRLW)equation.The optimal a priori error estimates(O((∆t)^(2)+h^(m+1)+h^(k+1)))for fully discrete explicit two-step mixed scheme are derived.Moreover,a numerical example is provided to confirm our theoretical results.

关 键 词：SRLW equation two-step method mixed finite element method a priori error estimates optimal convergence 

分 类 号：O17[理学—数学]