کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5776736 | 1632160 | 2017 | 17 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Multi-step Runge-Kutta-Nyström methods for special second-order initial value problems
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات محاسباتی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Multi-step Runge-Kutta-Nyström methods for special second-order initial value problems Multi-step Runge-Kutta-Nyström methods for special second-order initial value problems](/preview/png/5776736.png)
چکیده انگلیسی
In this paper, multi-step Runge-Kutta-Nyström methods for the numerical integration of special second-order initial value problems are proposed and studied. These methods include classical Runge-Kutta-Nyström methods as special cases. General order conditions are derived by using the theory of B-series based on the set of special Nyström-trees, and two explicit methods with order five and six, respectively, are constructed. Numerical results show that our new methods are more efficient in comparison with classical Runge-Kutta-Nyström methods and other well-known high quality methods proposed in the scientific literature.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Numerical Mathematics - Volume 113, March 2017, Pages 54-70
Journal: Applied Numerical Mathematics - Volume 113, March 2017, Pages 54-70
نویسندگان
Jiyong Li, Xianfen Wang,