کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4635737 1340714 2006 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Stability of a class of Runge-Kutta methods for a family of pantograph equations of neutral type
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Stability of a class of Runge-Kutta methods for a family of pantograph equations of neutral type
چکیده انگلیسی
This paper deals with the stability of Runge-Kutta methods for a class of neutral infinite delay-differential equations with different proportional delays. Under suitable conditions, the asymptotic stability of some Runge-Kutta methods with variable stepsize are considered by the stability function at infinity. It is proved that the even-stage Gauss-Legendre methods are not asymptotically stable, but the Radau IA methods, Radau IIA methods and Lobatto IIIC methods are all asymptotically stable. Furthermore, some numerical experiments are given to demonstrate the main conclusions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 181, Issue 2, 15 October 2006, Pages 1170-1181
نویسندگان
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