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：罗敏[1] 胡建成[1] 

机构地区：[1]成都信息工程学院数学学院,成都610225

出　　处：《四川大学学报（自然科学版）》2012年第3期514-516,共3页Journal of Sichuan University(Natural Science Edition)

基　　金：成都信息工程学院校选科研项目(CRF200904)

摘　　要：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.

关 键 词：Falkner—Skan方程 等价 有限差分法 

分 类 号：O241.82[理学—计算数学]