کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8966138 | 1646774 | 2019 | 17 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Compact structure-preserving approach to solitary wave in shallow water modeled by the Rosenau-RLW equation
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Compact structure-preserving approach to solitary wave in shallow water modeled by the Rosenau-RLW equation Compact structure-preserving approach to solitary wave in shallow water modeled by the Rosenau-RLW equation](/preview/png/8966138.png)
چکیده انگلیسی
A mass-preserving scheme, a nonlinear algorithm based on modification of a finite difference method to the Rosenau-RLW equation, is proposed subject to homogeneous boundary conditions. The key feature of the method for improving the accuracy of approximate solutions is to develop a compact higher-order scheme together with an iterative algorithm for solving the nonlinear implicit scheme. The derivatives for space discretization are approximated by using the algorithm dealing with a five-point stencil. In addition, a three-level average difference technique is used to perform time discretization. The conservation of mass and both the existence and uniqueness of the numerical solution are proved. The stability and convergence of the numerical solution with order O(Ï4+Ï2h2+h4) are also confirmed. For efficiency analysis, numerical results show that the computational efficiency of the compact scheme is much higher than that of non-compact schemes. Moreover, long-time behavior is also used to validate the capability of the present method.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 340, 1 January 2019, Pages 84-100
Journal: Applied Mathematics and Computation - Volume 340, 1 January 2019, Pages 84-100
نویسندگان
B. Wongsaijai, T. Mouktonglang, N. Sukantamala, K. Poochinapan,