کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6422549 | 1632020 | 2014 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Functionally-fitted block methods for ordinary differential equations
ترجمه فارسی عنوان
روش بلوک های کاربردی برای معادلات دیفرانسیل معمولی
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کلمات کلیدی
روش بلوک، اتصالات عملکردی، هماهنگ سازی، ضریب متغیر
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
چکیده انگلیسی
Functionally-fitted methods generalize collocation techniques to integrate exactly a chosen set of linearly independent functions. In this paper, we propose a new type of functionally-fitted block methods for ordinary differential equations. The basic theory for the proposed methods is established. First, we derive two sufficient conditions to ensure the existence of the functionally-fitted block methods, discuss their equivalence to collocation methods in a special case and independence on integration time for a set of separable basis functions. We then obtain some basic characteristics of the methods by Taylor series expansions, and show that the order of accuracy of the r-point functionally-fitted block method is at least r for general ordinary differential equations. Experimental results are conducted to demonstrate the validity of the functionally-fitted block methods.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 271, 1 December 2014, Pages 356-368
Journal: Journal of Computational and Applied Mathematics - Volume 271, 1 December 2014, Pages 356-368
نویسندگان
Jingwen Wu, Hongjiong Tian,