边界层理论中Falkner-Skan方程的数值解

On the numerical solution of the Falkner-Skan equation arising in boundary layer theory

作者采用有限差分法求解著名的Falkner-Skan方程,计算效率明显高于其他数值方法.此法求解利用了Lan和Yang近期建立的Falkner-Skan方程和奇异积分方程之间的等价性.有限差分方法数值解的结果与先前一些作者的结果一致.

In this paper, a finite difference method for the numerical solution of the wellknown FalknerSkan equation is presented, in which the amount of computational effort is significantly less than the other numerical methods. The methodology is to utilize the equivalence between the FalknerSkan equation and a singular integral equation established recently by Lan and Yang. The numerical solutions obtained by the finite difference method are in agreement with those obtained by previous authors.