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

Li Zou; Zhen Wang; Zhi Zong; Dong Yang Zou; Shuo Zhang

doi:10.1007/s10483-012-1644-9

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

Li Zou^*
, Zhen Wang
, Zhi Zong
, Dong Yang Zou
, Shuo Zhang

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

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.

Original language	English
Pages (from-to)	1569-1582
Number of pages	14
Journal	Applied Mathematics and Mechanics (English Edition)
Volume	33
Issue number	12
DOIs	https://doi.org/10.1007/s10483-012-1644-9
State	Published - 1 Dec 2012
Externally published	Yes

Keywords

Burgers equation
Enhanced differential transform method (EDTM)
Padé technique
Shock wave

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10.1007/s10483-012-1644-9

Cite this

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title = "Solving shock wave with discontinuity by enhanced differential transform method (EDTM)",

abstract = "An enhanced differential transform method (EDTM), which introduces the Pad{\'e} 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 = "Burgers equation, Enhanced differential transform method (EDTM), Pad{\'e} technique, Shock wave",

author = "Li Zou and Zhen Wang and Zhi Zong and Zou, \{Dong Yang\} and Shuo Zhang",

note = "Publisher Copyright: {\textcopyright} Shanghai University and Springer-Verlag Berlin Heidelberg 2012.",

year = "2012",

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T1 - Solving shock wave with discontinuity by enhanced differential transform method (EDTM)

AU - Zou, Li

AU - Wang, Zhen

AU - Zong, Zhi

AU - Zou, Dong Yang

AU - Zhang, Shuo

N1 - Publisher Copyright: © Shanghai University and Springer-Verlag Berlin Heidelberg 2012.

PY - 2012/12/1

Y1 - 2012/12/1

N2 - 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.

AB - 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.

KW - Burgers equation

KW - Enhanced differential transform method (EDTM)

KW - Padé technique

KW - Shock wave

UR - https://www.scopus.com/pages/publications/84868247039

U2 - 10.1007/s10483-012-1644-9

DO - 10.1007/s10483-012-1644-9

M3 - 文章

AN - SCOPUS:84868247039

SN - 0253-4827

VL - 33

SP - 1569

EP - 1582

JO - Applied Mathematics and Mechanics (English Edition)

JF - Applied Mathematics and Mechanics (English Edition)

IS - 12

ER -

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

Abstract

Keywords

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