کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
472900 698753 2011 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Construction of an optimized explicit Runge–Kutta–Nyström method for the numerical solution of oscillatory initial value problems
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
Construction of an optimized explicit Runge–Kutta–Nyström method for the numerical solution of oscillatory initial value problems
چکیده انگلیسی

An explicit optimized Runge–Kutta–Nyström method with four stages and fifth algebraic order is developed. The produced method has variable coefficients with zero phase-lag, zero amplification factor and zero first derivative of the amplification factor. We provide an analysis of the local truncation error of the new method. We also measure the efficiency of the new method in comparison to other numerical methods through the integration of the two-body problem with various eccentricities and three other periodical/oscillatory initial value problems.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 61, Issue 11, June 2011, Pages 3381–3390
نویسندگان
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