| 边界层理论中Falkner-Skan方程的数值解 |
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| 引用本文： | 罗敏,胡建成.边界层理论中Falkner-Skan方程的数值解[J].四川大学学报(自然科学版),2012,49(3):514-516. |
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| 作者姓名： | 罗敏 胡建成 |
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| 作者单位： | 成都信息工程学院数学学院,成都,610225 |
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| 基金项目： | 成都信息工程学院校选科研项目(CRF200904) |
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| 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.
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| 关 键 词： | Falkner-Skan 方程 等价 有限差分法 |
| 收稿时间： | 2010/5/13 0:00:00 |
On the numerical solution of the Falkner-Skan equation arising in boundary layer theory |
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| LUO Min and HU Jian-Cheng.On the numerical solution of the Falkner-Skan equation arising in boundary layer theory[J].Journal of Sichuan University (Natural Science Edition),2012,49(3):514-516. |
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| Authors: | LUO Min and HU Jian-Cheng |
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| Institution: | College of Mathematics, Chengdu University of Information Technology Chengdu;College of Mathematics, Chengdu University of Information Technology Chengdu |
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| Abstract: | 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. |
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| Keywords: | Falkner-Skan equation equivalence finite difference method |
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