کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4646020 | 1342076 | 2009 | 8 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Adaptive algorithms based on exact difference schemes for nonlinear BVPs on the half-axis
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات محاسباتی
پیش نمایش صفحه اول مقاله
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چکیده انگلیسی
The boundary value problem (BVP) for a scalar nonlinear second order differential equation on the half-axis is considered. A constructive method is proposed to derive from the three-point exact difference scheme (EDS) a so-called truncated difference scheme (n-TDS) of rank n, where n is a freely chosen natural number. The n-TDS has the order of accuracy , i.e., the global error is of the form , where |h| is the maximum step size and denotes the entire part of the expression in brackets. This n-TDS is the basis for a new adaptive algorithm which has all the advantages known from the modern IVP-solvers. Numerical examples are given which confirm the efficiency and reliability of our algorithm.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Numerical Mathematics - Volume 59, Issue 7, July 2009, Pages 1529-1536
Journal: Applied Numerical Mathematics - Volume 59, Issue 7, July 2009, Pages 1529-1536