求解Burger’s方程带限制算子的傅立叶拟谱方法(英文)  

The Fourier Pseudospectral Method With Restraint Operator for Burgers Equation

作　　者：Abdur Rashid Ghulam Mustafa 

机构地区：[1]Department of Mathematics,Gomal University,D.I.Khan,Pakistan [2]中国科学技术大学数学系,合肥230026 [3]Department of Mathematics,Islamia University,Bahawalpur,Pakistan

出　　处：《中国科学技术大学学报》2003年第5期547-554,共8页JUSTC

基　　金：ThisprojectissupportedbyOutstandingYouthGrantofNSFofChina (No.60 2 2 5 0 0 2 ) ,NKBRSFonMathematicalMechanics(No.G19980 3 0 60 0 ) ,theTRAPOYTinHigherEducationInstituteofMOEofChinaandtheDoctoralProgramofMOEofChina(No .2 0 0 10 3 5 80 0 3 )

摘　　要：采用带限制算子的傅立叶拟谱方法近似求解了Burger’s方程 ,分别证明了它的(Burger’s方程 )一般化的稳定性和收敛性 ,并获得了数值结果 .A Fourier pseudospectral approximation with a restraint operator is developed for solving Burger's equation. The generalized stability and convergence are proved respectively. The numerical results are also presented.

关 键 词：BURGERS方程 傅立叶拟谱方法 误差估计 

分 类 号：O241.82[理学—计算数学]