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一类激波问题的同伦解析解
引用本文:赵文才,陈祥平.一类激波问题的同伦解析解[J].曲阜师范大学学报,2009,35(3):43-46.
作者姓名:赵文才  陈祥平
作者单位:赵文才,ZHAO Wen-cai(山东科技大学理学院,266510,山东省青岛市);陈祥平,CHEN Xiang-ping(济宁学院数学系,273155,山东省曲阜市) 
基金项目:山东科技大学春蕾计划项目 
摘    要:讨论了激波或膨胀波诱导边界层问题,通过相似变换,将边界层方程组转化为非线性常微分方程组,利用同伦分析方法求得了问题的近似解析解,给出了无量纲的相似流函数和温度分布.

关 键 词:激波  非线性方程  同伦分析方法  边界层

Homotopyic Analytical Solutions for A Kind of Shock Probl
ZHAO Wen-cai,CHEN Xiang-ping.Homotopyic Analytical Solutions for A Kind of Shock Probl[J].Journal of Qufu Normal University(Natural Science),2009,35(3):43-46.
Authors:ZHAO Wen-cai  CHEN Xiang-ping
Institution:ZHAO Wen-cai , CHEN Xiang-ping ( 1College of Science, Shandong University of Science and Technology, 266510, Qingdao; 2Department of Mathematics, Jining College,273155, Qufu Shandong, PRC )
Abstract:In this paper, the boundary layer behind a shock or thin expansion wave moving into a stationary fluid is studied. The boundary layer equations are transformed into nonlinear ordinary differential equations using similarity variables. Using the homotopy analysis method, we obtained a class of approximate analytical solutions and representative profiles for the dimensionless stream function and temperature.
Keywords:shock  nonlinear equation  homotopy analysis method  boundary layer
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