کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1141252 | 956773 | 2008 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A procedure with stepsize control for solving n one-dimensional IVPs
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: A procedure with stepsize control for solving n one-dimensional IVPs A procedure with stepsize control for solving n one-dimensional IVPs](/preview/png/1141252.png)
چکیده انگلیسی
Finite precision computations may affect the stability of algorithms and the accuracy of computed solutions. In this paper we first obtain a relation for computing the number of common significant digits between the exact solution and a computed solution of a one-dimensional initial-value problem obtained by using a single-step or multi-step method. In fact, by using the approximate solutions obtained with stepsizes h and h /2, the number of common significant digits between approximate solution with stepsize h and exact solution is estimated. Then by using the stochastic arithmetic, the CESTAC method, and the CADNA library we propose an algorithm to control the round-off error effect on the computed solution. This method can easily apply to a system of n one-dimensional initial-value problems. Finally some numerical examples are given to show the efficiency of the method.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematics and Computers in Simulation - Volume 79, Issue 2, November 2008, Pages 167-176
Journal: Mathematics and Computers in Simulation - Volume 79, Issue 2, November 2008, Pages 167-176
نویسندگان
Davod Khojasteh Salkuyeh, Faezeh Toutounian, Hamed Shariat Yazdi,