کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9507278 | 1340776 | 2005 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Application of Galerkin's method to equal width wave 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: Application of Galerkin's method to equal width wave equation Application of Galerkin's method to equal width wave equation](/preview/png/9507278.png)
چکیده انگلیسی
The non-linear equal width equation is solved by Galerkin's method using linear finite elements. A linear recurrence relationship for the numerical solution of the resulting system of ordinary differential equations is found employing the Crank-Nicolson approach including a product approximation. The three invariants of the motion are calculated to determine the conservation properties of the system. L2 and Lâ error norms are used to measure differences between the exact and numerical solutions. The simulations of solitary wave motion are used to determine the properties of the algorithm. Finally, the development of an undular bore is studied.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 160, Issue 1, 5 January 2005, Pages 65-76
Journal: Applied Mathematics and Computation - Volume 160, Issue 1, 5 January 2005, Pages 65-76
نویسندگان
Abdulkadir Dogan,