کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5775969 1631759 2017 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Symbolic derivation of Runge-Kutta-Nyström type order conditions and methods for solving y′′′=f(x,y)
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Symbolic derivation of Runge-Kutta-Nyström type order conditions and methods for solving y′′′=f(x,y)
چکیده انگلیسی
In this work we study the Runge-Kutta-Nyström (RKN) type methods for the solution of a special third order initial value problems. Based on rooted trees the relative order conditions theory is presented introducing a new set of SN-trees named ⊤3 whose elements' enumeration is given. A Mathematica package, that furnishes instantly order conditions of high orders, is also listed. Finally, a new method of order 8 is constructed that outperforms by far the methods found in the literature.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 297, 15 March 2017, Pages 50-60
نویسندگان
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