کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
471343 698623 2007 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Stability of Runge–Kutta methods for the alternately advanced and retarded differential equations with piecewise continuous arguments
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
Stability of Runge–Kutta methods for the alternately advanced and retarded differential equations with piecewise continuous arguments
چکیده انگلیسی

This paper deals with the numerical properties of Runge–Kutta methods for the solution of u′(t)=au(t)+a0u([t+12]). It is shown that the Runge–Kutta method can preserve the convergence order. The necessary and sufficient conditions under which the analytical stability region is contained in the numerical stability region are obtained. It is interesting that the θθ-methods with 0⩽θ<12 are asymptotically stable. Some numerical experiments are given.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 54, Issue 3, August 2007, Pages 326–335
نویسندگان
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