کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4639555 | 1341239 | 2012 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
PGSCM: A family of PP-stable Boundary Value Methods for second-order initial value problems
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: PGSCM: A family of PP-stable Boundary Value Methods for second-order initial value problems PGSCM: A family of PP-stable Boundary Value Methods for second-order initial value problems](/preview/png/4639555.png)
چکیده انگلیسی
In this paper, we introduce a family of Linear Multistep Methods used as Boundary Value Methods for the numerical solution of initial value problems for second order ordinary differential equations of special type. We rigorously prove that these schemes are PP-stable, in a generalized sense, of arbitrarily high order. This overcomes the barrier that Lambert and Watson established in Lambert and Watson (1976) [1] on Linear Multistep Methods used in the classic way; that is as Initial Value Methods. We call the new methods PGSCMs, an acronym for PνPν-stable Generalized Störmer-Cowell Methods. Numerical illustrations which confirm the theoretical results of the paper are finally given.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 236, Issue 16, October 2012, Pages 3857–3868
Journal: Journal of Computational and Applied Mathematics - Volume 236, Issue 16, October 2012, Pages 3857–3868
نویسندگان
Lidia Aceto, Paolo Ghelardoni, Cecilia Magherini,