کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4633267 | 1340666 | 2009 | 14 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Numerical solution of the Falkner-Skan equation based on quasilinearization
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Numerical solution of the Falkner-Skan equation based on quasilinearization Numerical solution of the Falkner-Skan equation based on quasilinearization](/preview/png/4633267.png)
چکیده انگلیسی
We present two iterative methods for solving the Falkner-Skan equation based on the quasilinearization method. We formulate the original problem as a new free boundary value problem. The truncated boundary depending on a small parameter is an unknown free boundary and has to be determined as part of solution. Using a change of variables, the free boundary value problem is transformed to a problem defined on [0, 1]. We apply the quasilinearization method to solve the resulting nonlinear problem. Then we propose two different iterative algorithms by means of a cubic spline solver. Numerical results for various instances are compared with those reported previously in the literature. The comparisons show the accuracy, robustness and efficiency of the presented methodology.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 215, Issue 7, 1 December 2009, Pages 2472-2485
Journal: Applied Mathematics and Computation - Volume 215, Issue 7, 1 December 2009, Pages 2472-2485
نویسندگان
Shengfeng Zhu, Qingbiao Wu, Xiaoliang Cheng,