کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4634843 1340701 2007 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Stability analysis of Runge-Kutta methods for unbounded retarded differential equations with piecewise continuous arguments
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Stability analysis of Runge-Kutta methods for unbounded retarded differential equations with piecewise continuous arguments
چکیده انگلیسی
This paper deals with the asymptotical stability of the analytic solutions for the unbounded retarded differential equations with piecewise continuous arguments (EPCA) u′(t)=f(t,u(t),u([tN])),t⩾0,u(0)=u0, where N∈Z+. A sufficient condition that the differential equations are asymptotically stable is derived. This paper is also concerned with the stability analysis of the Runge-Kutta methods for equation u′(t)=au(t)+bu([tN]),t⩾0,u(0)=u0, where N∈Z+. The conditions that the numerical solutions preserve the stability of the analytic solutions are obtained and some numerical experiments are given.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 191, Issue 1, 1 August 2007, Pages 57-66
نویسندگان
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