应用数学和力学2012,Vol.33Issue(12):1465-1476,12.DOI:10.3879/j.issn.1000-0887.2012.12.008
改进的微分变换法对不连续冲击波的求解
Solving Shock Wave With Discontinuity by the Enhanced Differential Transform Method
摘要
Abstract
An enhanced differential transform method which introduced the Pade technique into the standard differential transform method was proposed. The enhanced method was applied for the analytic treatment of shock wave. It accelerates the convergence of the series solution and provides the exact power series solution.关键词
改进的微分变换法/冲击波/Padé逼近/Burgers方程Key words
enhanced differential transform method/shock wave/Pade technique/Burgers equation分类
数理科学引用本文复制引用
邹丽,王振,宗智,邹东阳,张朔..改进的微分变换法对不连续冲击波的求解[J].应用数学和力学,2012,33(12):1465-1476,12.基金项目
国家自然科学基金资助项目(50909017 ()
51109031 ()
50921001 ()
11072053 ()
51009022) ()
教育部博士点基金资助项目(20100041120037) (20100041120037)
中央高校基本科研业务费专项资金资助项目(DUT12LK52 ()
DUT12LK34) ()
973基金资助项目(2010CB832704 ()
2013CB036101) ()