کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4640378 1341273 2010 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A self-adaptive moving mesh method for the Camassa–Holm equation
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
A self-adaptive moving mesh method for the Camassa–Holm equation
چکیده انگلیسی

A self-adaptive moving mesh method is proposed for the numerical simulations of the Camassa–Holm equation. It is an integrable scheme in the sense that it possesses the exact N-soliton solution. It is named a self-adaptive moving mesh method, because the non-uniform mesh is driven and adapted automatically by the solution. Once the non-uniform mesh is evolved, the solution is determined by solving a tridiagonal linear system. Due to these two superior features of the method, several test problems give very satisfactory results even if by using a small number of grid points.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 235, Issue 1, 1 November 2010, Pages 229–243
نویسندگان
, , ,