A new iterative linearization approach for solving nonlinear equations systems
Yazarlar (3)
Dr. Öğr. Üyesi Gizem Temelcan ERGENECOŞAR İstanbul Aydın Üniversitesi, Türkiye
Dr. Öğr. Üyesi Mustafa Sivri Yıldız Teknik Üniversitesi, Türkiye
Inci Albayrak
Yıldız Teknik Üniversitesi, Türkiye
Yıldız Teknik Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
(ESCI dergilerinde yayınlanan tam makale)
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| Dergi Adı | International Journal of Optimization and Control Theories and Applications | ||
| Dergi ISSN | 2146-0957 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | ESCI | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2020 |
| Kabul Tarihi | – | Yayınlanma Tarihi | 14-01-2020 |
| Cilt / Sayı / Sayfa | 10 / 1 / 47–54 | DOI | 10.11121/IJOCTA.01.2020.00684 |
| Makale Linki | https://ijocta.org/index.php/files/article/view/684/309 | ||
| UAK Araştırma Alanları |
Uygulamalı Matematik
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| Özet |
| Nonlinear equations arise frequently while modeling chemistry, physics, economy and engineering problems. In this paper, a new iterative approach for finding a solution of a nonlinear equations system (NLES) is presented by applying a linearization technique. The proposed approach is based on computational method that converts NLES into a linear equations system by using Taylor series expansion at the chosen arbitrary nonnegative initial point. Using the obtained solution of the linear equations system, a linear programming (LP) problem is constructed by considering the equations as constraints and minimizing the objective function constructed as the summation of balancing variables. At the end of the presented algorithm, the exact solution of the NLES is obtained. The performance of the proposed approach has been demonstrated by considering different numerical examples from literature. |
| Anahtar Kelimeler |
| Linear programming problem | Nonlinear equations system | Taylor series |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Web of Science | 1 |
| Scopus | 2 |
| Google Scholar | 9 |