کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4634813 | 1340700 | 2008 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
High order Euler-like method for the inclusion of polynomial zeros
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: High order Euler-like method for the inclusion of polynomial zeros High order Euler-like method for the inclusion of polynomial zeros](/preview/png/4634813.png)
چکیده انگلیسی
Improved iterative method of Euler’s type for the simultaneous inclusion of polynomial zeros is considered. To accelerate the convergence of the basic method of the fourth order we applied Börsch–Supan’s correction. It is proved that the R-order of convergence of the improved Euler-like method is six. The convergence analysis is derived under computationally verifiable initial conditions. The proposed algorithm possesses great computational efficiency since the increase of the convergence rate from 4 to 6 is obtained with negligible number of additional calculations. In order to demonstrate convergence properties of the suggested method, two numerical examples are given.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 196, Issue 2, 1 March 2008, Pages 762–773
Journal: Applied Mathematics and Computation - Volume 196, Issue 2, 1 March 2008, Pages 762–773
نویسندگان
M.S. Petković, D.M. Milošević, L.D. Petković,