| Yazarlar (3) |
Dr. Öğr. Üyesi Gizem Temelcan ERGENECOŞAR
İstanbul Aydın Üniversitesi |
Fatma İnci Albayrak
Yıldız Teknik Üniversitesi, Türkiye |
|
Mustafa Sivri
Yıldız Teknik Üniversitesi, Türkiye |
| 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 |
| Makale Türü |
Özgün Makale
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| Makale Alt Türü | ESCI dergilerinde yayınlanan tam makale |
| Dergi Adı | An International Journal of Optimization and Control: Theories & Applications (IJOCTA) |
| Dergi ISSN | 2146-0957 Wos Dergi Scopus Dergi |
| Dergi Tarandığı Indeksler | ESCI |
| Makale Dili | İngilizce |
| Basım Tarihi | 01-2020 |
| Cilt No | 10 |
| Sayı | 1 |
| Sayfalar | 47 / 54 |
| DOI Numarası | 10.11121/ijocta.01.2020.00684 |
| Makale Linki | https://ijocta.org/index.php/files/article/view/684/309 |
| Atıf Sayıları | |
| Google Scholar | 8 |
