کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8901219 1631732 2018 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Numerical solution of the Degasperis-Procesi equation by the cubic B-spline quasi-interpolation method
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Numerical solution of the Degasperis-Procesi equation by the cubic B-spline quasi-interpolation method
چکیده انگلیسی
In this paper, a numerical scheme is presented to solve the non-dissipative Degasperis-Procesi equation based on the u-p formulation. The cubic B-spline quasi-interpolation coupled with the finite difference method is applied to approximate the spatial derivatives and an optimal third order TVD Runge-Kutta method to estimate the time derivative of the dependent variable. The accuracy and effectiveness of the proposed method are validated by six classical problems. Numerical results indicate that the proposed scheme is simple, easy to implement with high accuracy.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 324, 1 May 2018, Pages 218-227
نویسندگان
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