کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4626070 | 1631782 | 2016 | 9 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On modifications of Runge–Kutta–Nyström methods for solving y(4)=f(x,y)y(4)=f(x,y)
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We present Runge–Kutta–Nyström type methods for the solution of a special fourth order initial value problem. Order conditions theory is given based on rooted trees. Thus a new set of SN-trees is introduced named ⊤4 and the enumeration of its elements is studied. A Mathematica package is also listed that may furnish instantly order conditions of very high orders. Finally a new 8th order method is constructed using Differential Evolution for solving the equations of condition. It outperforms by far the well-known established methods.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 273, 15 January 2016, Pages 726–734
Journal: Applied Mathematics and Computation - Volume 273, 15 January 2016, Pages 726–734
نویسندگان
I.Th. Famelis, Ch. Tsitouras,