非线性拉伸片上粘性流体MHD流动的数值解

研究流经非线性拉伸片的粘性磁流体的边界层流动.在前人获得的常微分初边值问题的基础上，利用适当替换将其进一步简化，再利用Galerkin有限元方法将其化成非线性方程组，然后利用Newton迭代法求出此问题的数值解.最后在表格中列出数值结果，并与已知数值结果做比较.比较结果显示：该数值结果与已知数值结果基本吻合.这说明Galerkin有限元方法的可靠性和有效性.

Numerical solution to the MHD flow of a viscous fluid over a nonlinear stretching sheet

The magneto-hydrodynamic(MHD) boundary layer of a viscous fluid towards a nonlinear stretching sheet is studied. Based on the problem of initial boundary value of ordinary differential obtained by the former expert, it was further simplified with proper replacement, and using Galerkin finite element method the nonlinear equations are obtained, then the reduced problem is solved by the Galerkin finite element method and Newton iterative method. The numerical solution is tabulated for the values of various parameters and compared with the known solutions. It is found that the numerical solution agrees with the known solutions, showing the reliability and validity of the Galerkin finite element method.