典型文献
A Stable Numerical Scheme Based on the Hybridized Discontinuous Galerkin Method for the Ito-Type Coupled KdV System
文献摘要：
The purpose of this paper is to develop a hybridized discontinuous Galerkin(HDG)method for solving the Ito-type coupled KdV system.In fact,we use the HDG method for discre-tizing the space variable and the backward Euler explicit method for the time variable.To linearize the system,the time-lagging approach is also applied.The numerical stability of the method in the sense of the L2 norm is proved using the energy method under certain assumptions on the stabilization parameters for periodic or homogeneous Dirichlet bound-ary conditions.Numerical experiments confirm that the HDG method is capable of solving the system efficiently.It is observed that the best possible rate of convergence is achieved by the HDG method.Also,it is being illustrated numerically that the corresponding con-servation laws are satisfied for the approximate solutions of the Ito-type coupled KdV sys-tem.Thanks to the numerical experiments,it is verified that the HDG method could be more efficient than the LDG method for solving some Ito-type coupled KdV systems by comparing the corresponding computational costs and orders of convergence.
文献关键词：
中图分类号：
作者姓名：
Shima Baharlouei;Reza Mokhtari;Nabi Chegini
作者机构：
Department of Mathematical Sciences,Isfahan University of Technology,84156-83111 Isfahan,Iran;Department of Mathematics,Tafresh University,39518-79611 Tafresh,Iran
文献出处：
引用格式：
[1]Shima Baharlouei;Reza Mokhtari;Nabi Chegini-.A Stable Numerical Scheme Based on the Hybridized Discontinuous Galerkin Method for the Ito-Type Coupled KdV System)[J].应用数学与计算数学学报,2022(04):1351-1373
A类：
discre,tizing,linearize
B类：
Stable,Numerical,Scheme,Based,Hybridized,Discontinuous,Galerkin,Method,Ito,Type,Coupled,KdV,System,purpose,this,paper,develop,hybridized,discontinuous,HDG,method,solving,type,coupled,In,fact,we,use,space,variable,backward,Euler,explicit,To,lagging,approach,also,applied,stability,sense,L2,norm,proved,using,energy,under,certain,assumptions,stabilization,parameters,periodic,homogeneous,Dirichlet,bound,ary,conditions,experiments,confirm,that,capable,efficiently,observed,best,possible,convergence,achieved,by,Also,being,illustrated,numerically,corresponding,servation,laws,are,satisfied,approximate,solutions,Thanks,verified,could,more,than,LDG,some,systems,comparing,computational,costs,orders
AB值：
0.527459
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