کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4639776 | 1341250 | 2012 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Iterative methods for solving nonlinear equations with finitely many roots in an interval
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Iterative methods for solving nonlinear equations with finitely many roots in an interval Iterative methods for solving nonlinear equations with finitely many roots in an interval](/preview/png/4639776.png)
چکیده انگلیسی
In this paper we consider a nonlinear equation f(x)=0f(x)=0 having finitely many roots in a bounded interval. Based on the so-called numerical integration method [B.I. Yun, A non-iterative method for solving non-linear equations, Appl. Math. Comput. 198 (2008) 691–699] without any initial guess, we propose iterative methods to obtain all the roots of the nonlinear equation. In the result, an algorithm to find all of the simple roots and multiple ones as well as the extrema of f(x)f(x) is developed. Moreover, criteria for distinguishing zeros and extrema are included in the algorithm. Availability of the proposed method is demonstrated by some numerical examples.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 236, Issue 13, July 2012, Pages 3308–3318
Journal: Journal of Computational and Applied Mathematics - Volume 236, Issue 13, July 2012, Pages 3308–3318
نویسندگان
Beong In Yun,