کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5775734 | 1631745 | 2017 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Linearized difference schemes for a BBM equation with a fractional nonlocal viscous term
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
This paper is concerned with the efficient finite difference schemes for a Benjamin-Bona-Mahony equation with a fractional nonlocal viscous term. By using the weighted-shift Grünwald-Letnikov and the fractional centered difference formulae to approximate the nonlocal fractional operators, we design a class of linearized finite difference schemes for the presented nonlocal model. The existence, stability and convergence of the proposed numerical schemes are rigorously derived with the help of functional analysis. Theoretical analysis shows that the proposed numerical schemes are stable with second order accuracy. Numerical examples are presented to verify our theoretical analysis and to demonstrate the efficiency of the proposed numerical schemes.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 311, 15 October 2017, Pages 240-250
Journal: Applied Mathematics and Computation - Volume 311, 15 October 2017, Pages 240-250
نویسندگان
Can Li,