کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9509652 | 1341409 | 2005 | 15 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Comparison of higher-order accurate schemes for solving the two-dimensional unsteady Burgers' equation
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Comparison of higher-order accurate schemes for solving the two-dimensional unsteady Burgers' equation Comparison of higher-order accurate schemes for solving the two-dimensional unsteady Burgers' equation](/preview/png/9509652.png)
چکیده انگلیسی
This paper is devoted to the testing and comparison of numerical solutions obtained from higher-order accurate finite difference schemes for the two-dimensional Burgers' equation having moderate to severe internal gradients. The fourth-order accurate two-point compact scheme, and the fourth-order accurate Du Fort Frankel scheme are derived. The numerical stability and convergence are presented. The cases of shock waves of severe gradient are solved and checked with the fourth-order accurate Du Fort Frankel scheme solutions. The present study shows that the fourth-order two-point compact scheme is highly stable and efficient in comparison with the fourth-order accurate Du Fort Frankel scheme.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 174, Issue 2, 15 February 2005, Pages 383-397
Journal: Journal of Computational and Applied Mathematics - Volume 174, Issue 2, 15 February 2005, Pages 383-397
نویسندگان
Samir F. Radwan,