کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4629221 1340575 2013 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Stability of solutions of nonlinear neutral differential equations with piecewise constant delay and their discretizations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Stability of solutions of nonlinear neutral differential equations with piecewise constant delay and their discretizations
چکیده انگلیسی
This paper is devoted to stability analysis of solutions of nonlinear neutral differential equations with piecewise constant delay. These results form the basis for obtaining insight into the analogous properties of numerical solutions generated by BNf- stable Runge-Kutta methods. It is showed, theoretically and numerically, that two classes of Runge-Kutta methods considered in literature are contractive and asymptotically stable. Numerical experiments also demonstrate that a class of Runge-Kutta methods can preserve their original convergence order for ODEs but not the other class of Runge-Kutta methods.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 219, Issue 9, 1 January 2013, Pages 4590-4600
نویسندگان
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