Solving shock wave with discontinuity by enhanced differential transform method(EDTM)  

作　　者：邹丽 王振 宗智 邹东阳 张朔 

机构地区：[1]State Key Laboratory of Structure Analysis for Industrial Equipment [2]School of Aeronautics and Astronautics,Dalian University of Technology [3]School of Mathematics,Dalian University of Technology [4]School of Naval Architecture,Dalian University of Technology

出　　处：《Applied Mathematics and Mechanics(English Edition)》2012年第12期1569-1582,共14页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Nos.50909017,51109031, 50921001,11072053,and 51009022);the Doctoral Foundation of Ministry of Education of China(No.20100041120037);the Fundamental Research Funds for the Central Universities (Nos.DUT12LK52 and DUT12LK34);the Major State Basic Research Development Program of China(973 Program)(Nos.2010CB832704 and 2013CB036101)

摘　　要：An enhanced differential transform method （EDTM）, which introduces the Pad@ technique into the standard differential transform method （DTM）, is proposed. The enhanced method is applied to the analytic treatment of the shock wave. It accelerates the convergence of the series solution and provides an exact Dower series solution.An enhanced differential transform method （EDTM）, which introduces the Pad@ technique into the standard differential transform method （DTM）, is proposed. The enhanced method is applied to the analytic treatment of the shock wave. It accelerates the convergence of the series solution and provides an exact Dower series solution.

关 键 词：enhanced differential transform method （EDTM） shock wave Pad@ tech-nique Burgers equation 

分 类 号：O175[理学—数学]