کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4627241 1631804 2015 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the convergence of conservative difference schemes for the 2D generalized Rosenau–Korteweg de Vries equation
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
On the convergence of conservative difference schemes for the 2D generalized Rosenau–Korteweg de Vries equation
چکیده انگلیسی

Two conservative finite difference schemes for the Rosenau–KdV equation (RKdV) in 2D are proposed. The first scheme is two-level and nonlinear implicit. The second scheme is three-level and linear-implicit. Existence of its difference solutions has been shown. It is proved by the discrete energy method that the two schemes are uniquely solvable, unconditionally stable, and the convergence is of second order in the uniform norm. Numerical experiments demonstrate that the schemes are accurate and efficient.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 250, 1 January 2015, Pages 832–847
نویسندگان
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