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

doi:10.1007/s10483-012-1644-9

Applied Mathematics and Mechanics (English Edition) ›› 2012, Vol. 33 ›› Issue (12): 1569-1582.doi: https://doi.org/10.1007/s10483-012-1644-9

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

邹丽^1,2, 王振³, 宗智^1,4, 邹东阳^1,2, 张朔^1,2

1. State Key Laboratory of Structure Analysis for Industrial Equipment, Dalian 116085, Liaoning Province, P. R. China;
2. School of Aeronautics and Astronautics, Dalian University of Technology, Dalian 116085, Liaoning Province, Liaoning Province, P. R. China;
3. School of Mathematics, Dalian University of Technology, Dalian 116085, Liaoning Province, P. R. China;
4. School of Naval Architecture, Dalian University of Technology, Dalian 116085, Liaoning Province, P. R. China

收稿日期:2011-10-21 修回日期:2012-06-14 出版日期:2012-12-10 发布日期:2012-12-10
通讯作者: Li ZOU, Associate Professor, Ph.D., E-mail: lizou@dlut.edu.cn E-mail:lizou@dlut.edu.cn
基金资助:
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), and the Major State Basic Research Development Program of China (973 Program) (Nos. 2010CB832704 and 2013CB036101)

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

Li ZOU^1,2, Zhen WANG³, Zhi ZONG^1,4, Dong-yang ZOU^1,2, Shuo ZHANG^1,2

1. State Key Laboratory of Structure Analysis for Industrial Equipment, Dalian 116085, Liaoning Province, P. R. China;
2. School of Aeronautics and Astronautics, Dalian University of Technology, Dalian 116085, Liaoning Province, Liaoning Province, P. R. China;
3. School of Mathematics, Dalian University of Technology, Dalian 116085, Liaoning Province, P. R. China;
4. School of Naval Architecture, Dalian University of Technology, Dalian 116085, Liaoning Province, P. R. China

Received:2011-10-21 Revised:2012-06-14 Online:2012-12-10 Published:2012-12-10
Supported by:
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), and the Major State Basic Research Development Program of China (973 Program) (Nos. 2010CB832704 and 2013CB036101)

摘要/Abstract

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.

关键词: three-porous-medium model, solid tumor, drug delivery, diffusion-convection equations

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.

Key words: three-porous-medium model, solid tumor, drug delivery, diffusion-convection equations

中图分类号:

O242.1

邹丽;王振;宗智;邹东阳;张朔. Solving shock wave with discontinuity by enhanced differential transform method (EDTM)[J]. Applied Mathematics and Mechanics (English Edition), 2012, 33(12): 1569-1582.

Li ZOU;Zhen WANG;Zhi ZONG;Dong-yang ZOU;Shuo ZHANG. Solving shock wave with discontinuity by enhanced differential transform method (EDTM)[J]. Applied Mathematics and Mechanics (English Edition), 2012, 33(12): 1569-1582.

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

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

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