%0 Journal Article %T High-order compact difference method for solving two dimensional wave equation
二维波动方程的一种高精度紧致差分方法 %A REN Jun-hao %A XIE Dan-mi %A
任军号 %A 解丹蕊 %J 计算机应用研究 %D 2012 %I %X This paper gave out a better solution to a high-order compact difference method of the two-dimensional wave equation.Firstly,this method obtained numerical results on different size meshes by using a high order alternating direction implicit(ADI) difference scheme,which were of order O(τ2+h4),then got an O(τ4+h6) accuracy solution via the Richardson extrapolation method.The numerical experiments demonstrate the high accuracy,efficiency and dependability of the method. %K two dimensional wave equation %K high-order compact scheme %K alternating direction implicit scheme
二维波动方程 %K 高精度紧致差分格式 %K 交替方向隐式格式 %U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=A9D9BE08CDC44144BE8B5685705D3AED&aid=AB480754FB5F26FED83D1AF8AC4BF06F&yid=99E9153A83D4CB11&vid=771469D9D58C34FF&iid=B31275AF3241DB2D&sid=7058971B95CBEC94&eid=C875244499E644B2&journal_id=1001-3695&journal_name=计算机应用研究&referenced_num=0&reference_num=10