限定表面温度的边界层流方程的Galerkin有限元数值解  

Galerkin Finite Element Numerical Solutions of Boundary Layer Flows Equation with Prescribed Surface Temperature

作　　者：胡敏[1] 

机构地区：[1]攀枝花学院数学与计算机学院,四川攀枝花617000

出　　处：《四川理工学院学报（自然科学版）》2014年第6期80-83,共4页Journal of Sichuan University of Science & Engineering(Natural Science Edition)

基　　金：攀枝花学院计算机学院预研项目(Y2011-05);攀枝花学院校级项目(2014YB38)

摘　　要：利用一个变换将限定表面温度的边界层流方程转化成二阶边值问题,然后利用Galerkin有限元方法将其转化成n元非线性方程组,再利用Newton迭代法求出在给定初始值和最大误差容忍度的数值解。By using a transformation, the two order boundary value problem of the boundary layer flows equation withprescribed surface temperature is obtained. And then it is turned into n-dimensional nonlinear equations by utilizing theGalerkin finite element method. After that, the numerical solutions for the nonlinear equations under given value and maxi-mum error tolerance are determined through Newton iterative method.

关 键 词：边界层流方程 二阶边值问题 GALERKIN有限元法 NEWTON迭代法 数值解 

分 类 号：O175.8[理学—数学]