کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
471365 698624 2013 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
NSFD representations for polynomial terms appearing in the potential functions of 1-dimensional conservative systems
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
NSFD representations for polynomial terms appearing in the potential functions of 1-dimensional conservative systems
چکیده انگلیسی

We provide a methodology for the construction of nonstandard finite difference (NSFD) schemes for 1-dimensional conservative dynamical systems. Such systems are used to model a broad range of nonlinear oscillators. To obtain the desired representations, we imposed conditions following from the constraints of parity invariance and the conservation of energy. A further, practical computational requirement is that these schemes be explicit and linear in the dependent variable evaluated at the upper discrete-time level. The current work extends previous studies by Mickens et al.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 66, Issue 11, December 2013, Pages 2251–2258
نویسندگان
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