کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6419924 1631781 2016 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Multi-quadric quasi-interpolation method coupled with FDM for the Degasperis-Procesi equation
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Multi-quadric quasi-interpolation method coupled with FDM for the Degasperis-Procesi equation
چکیده انگلیسی

In this paper, the Degasperis-Procesi (DP) equation which contains nonlinear high order derivatives and discontinuous solutions is recast to its equivalent form: u−P. Based on the equivalent formulation of DP equation, a new numerical method is presented. The multi-quadric (MQ) quasi-interpolation method coupled with finite difference method is applied to approximate the spatial derivatives and the third order TVD method is used to approximate the time derivative. Several examples are presented to demonstrate the effectiveness of the proposed method.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 274, 1 February 2016, Pages 83-92
نویسندگان
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