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

^*此作品的通讯作者

科研成果: 期刊稿件 › 文章 › 同行评审

6 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	1569-1582
页数	14
期刊	Applied Mathematics and Mechanics (English Edition)
卷	33
期	12
DOI	https://doi.org/10.1007/s10483-012-1644-9
出版状态	已出版 - 1 12月 2012
已对外发布	是

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@article{b99d22527c404eff955af8cda7a01e87,

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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doi = "10.1007/s10483-012-1644-9",

language = "英语",

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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)

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