对流边界层理论中不稳定非自治系统的数值解（英文）

Numerical Results of a Nonautonomous System Arising in Unsteady Convective Boundary Layer

为了求解对流边界层理论中一个非自治微分方程系统,作者采用伽略金有限元方法,此方法是通过将无限区间上的三阶非线性微分方程转化成有限区间上的二阶微分形式,并构造出相应的伽略金有限元方程来求得数值解,该数值解与先前一些作者的结果一致,并且计算效率显高于其它数值方法.

In order to obtain the nonautonomous differential equation,the author uses the Galerkin finite element method,which is to change the three-order nonlinear differential equations on infinite interval into second-order differential form on finite interval,the numerical results obtained by the finite element equations are in agreement with those obtained by previous authors,and the amount of computational effort is significantly less than that by other numerical methods.