In this study, by using the iterative method discussed in (Kang et al., 2013) and adopting a technique given in details (Biazar and Amirteimoori, 2006) introduced a new hybrid third-order iterative method to solve nonlinear equations derived from the Picard-Mann fixed-point iterative method. Some problems have been solved in order to demonstrate the performance of the established iterative method for the solution of the nonlinear equations.
Fixed Point Method Picard-Mann Iterative Method Newton Iterative Method Nonlinear Equations Convergence Analysis
In this study, by using the iterative method discussed in (Kang et al., 2013) and adopting a technique given in details (Biazar and Amirteimoori, 2006) introduced a new hybrid third-order iterative method to solve nonlinear equations derived from the Picard-Mann fixed-point iterative method. Some problems have been solved in order to demonstrate the performance of the established iterative method for the solution of the nonlinear equations.
Fixed Point Method Picard-Mann Iterative Method Newton Iterative Method Nonlinear Equations Convergence Analysis
Artvin Coruh Univesity
| Birincil Dil | İngilizce |
|---|---|
| Konular | Matematik |
| Bölüm | Araştırma Makalesi |
| Yazarlar | |
| Gönderilme Tarihi | 28 Haziran 2019 |
| Kabul Tarihi | 23 Ekim 2019 |
| Yayımlanma Tarihi | 1 Mart 2020 |
| Yayımlandığı Sayı | Yıl 2020 Cilt: 10 Sayı: 1 |