کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6421859 1631834 2013 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Removing trailing tails and delays induced by artificial dissipation in Padé numerical schemes for stable compacton collisions
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Removing trailing tails and delays induced by artificial dissipation in Padé numerical schemes for stable compacton collisions
چکیده انگلیسی

The numerical simulation of colliding solitary waves with compact support arising from the Rosenau-Hyman K(n,n) equation requires the addition of artificial dissipation for stability in the majority of methods. The price to pay is the appearance of trailing tails, amplitude damping, and delays as the solution evolves. These undesirable effects can be corrected by properly counterbalancing two sources of artificial dissipation; this procedure is designed by using the slow time evolution of the parameters of the solitary waves under the presence of the dissipation determined by means of adiabatic perturbation methods. The validity of the tail removal methodology is demonstrated on a Padé numerical scheme. The tails are completely removed leaving only a small compact ripple at the original position of their front, and the numerical stability of the scheme under compacton collisions is preserved, as shown by extensive numerical experiments for several values of n.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 220, 1 September 2013, Pages 185-192
نویسندگان
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