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Solving shock wave with discontinuity by enhanced differential transform method (EDTM) |
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| Authors: | , Li ZOU , Zhen WANG , Zhi ZONG , Dong-yang ZOU , Shuo ZHANG |
| Affiliation: | 1. State Key Laboratory of Structure Analysis for Industrial Equipment,Dalian 116085,Liaoning Province,P.R.China;School of Aeronautics and Astronautics,Dalian University of Technology,Dalian 116085,Liaoning Province,Liaoning Province,P.R.China 2. School of Mathematics,Dalian University of Technology,Dalian 116085,Liaoning Province,P.R.China 3. State Key Laboratory of Structure Analysis for Industrial Equipment,Dalian 116085,Liaoning Province,P.R.China;School of Naval Architecture,Dalian University of Technology,Dalian 116085,Liaoning Province,P.R.China |
| Abstract: | An enhanced differential transform method (EDTM), which introduces the Padé 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 power series solution. |
| Keywords: | enhanced differential transform method(EDTM) shock wave Padé technique Burgers equation |
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