Araştırma Makalesi

A Hybrid Third-Order Iterative Process To Solve Nonlinear Equations

Cilt: 10 Sayı: 1 1 Mart 2020
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A Hybrid Third-Order Iterative Process To Solve Nonlinear Equations

Öz

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.

Anahtar Kelimeler

Destekleyen Kurum

Artvin Coruh Univesity

Kaynakça

  1. Abbas M, Nazir T, 2014. A new faster iteration process applied to constrained minimization and feasibility problems, Matematicki Vesnik 66(2): 223-234.
  2. Ashiq A, Qaisar M, Tanveer M, Aslam A, NazeerW, 2015. Modified new third-order iterative method for non-linear equations, Sci.Int.(Lahore), 27(3), 1741-1744, 2015.
  3. Babolian E, Biazar J, 2002. Solution of nonlinear equations by modified Adomian decomposition method, Appl. Math. Comput. 132 (1): 167–172.
  4. Berinde V, 2014. Picard iteration converges faster than Mann iteration for a class of quasi-contractive operators, Fixed Point Theory Appl. 2014 (2004):1.
  5. Biazar J, Amirteimoori A, 2006. An improvement to the fixed point iterative method, Appl. Math. Comput. 182 (1): 567–571.
  6. Chugh R, Malik P, Kumar V, 2015. On a new faster implicit xed point iterative scheme in convex metric spaces, J. Function Spaces (2015), Article ID 905834.
  7. Dogan K, Karakaya V, 2018. A study in the fixed point theory for a new iterative scheme and a class of generalized mapings, Creat. Math. Inform. 27(2018), No. 2, 151-160.
  8. Fukhar-ud-din H, Berinde V, 2016. Iterative methods for the class of quasi-contractive type operators and comparsion of their rate of convergence in convex metric spaces, Filomat 30 (2016) 223-230.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

1 Mart 2020

Gönderilme Tarihi

28 Haziran 2019

Kabul Tarihi

23 Ekim 2019

Yayımlandığı Sayı

Yıl 2020 Cilt: 10 Sayı: 1

Kaynak Göster

APA
Doğan, K. (2020). A Hybrid Third-Order Iterative Process To Solve Nonlinear Equations. Journal of the Institute of Science and Technology, 10(1), 563-575. https://doi.org/10.21597/jist.583528
AMA
1.Doğan K. A Hybrid Third-Order Iterative Process To Solve Nonlinear Equations. Iğdır Üniv. Fen Bil Enst. Der. 2020;10(1):563-575. doi:10.21597/jist.583528
Chicago
Doğan, Kadri. 2020. “A Hybrid Third-Order Iterative Process To Solve Nonlinear Equations”. Journal of the Institute of Science and Technology 10 (1): 563-75. https://doi.org/10.21597/jist.583528.
EndNote
Doğan K (01 Mart 2020) A Hybrid Third-Order Iterative Process To Solve Nonlinear Equations. Journal of the Institute of Science and Technology 10 1 563–575.
IEEE
[1]K. Doğan, “A Hybrid Third-Order Iterative Process To Solve Nonlinear Equations”, Iğdır Üniv. Fen Bil Enst. Der., c. 10, sy 1, ss. 563–575, Mar. 2020, doi: 10.21597/jist.583528.
ISNAD
Doğan, Kadri. “A Hybrid Third-Order Iterative Process To Solve Nonlinear Equations”. Journal of the Institute of Science and Technology 10/1 (01 Mart 2020): 563-575. https://doi.org/10.21597/jist.583528.
JAMA
1.Doğan K. A Hybrid Third-Order Iterative Process To Solve Nonlinear Equations. Iğdır Üniv. Fen Bil Enst. Der. 2020;10:563–575.
MLA
Doğan, Kadri. “A Hybrid Third-Order Iterative Process To Solve Nonlinear Equations”. Journal of the Institute of Science and Technology, c. 10, sy 1, Mart 2020, ss. 563-75, doi:10.21597/jist.583528.
Vancouver
1.Kadri Doğan. A Hybrid Third-Order Iterative Process To Solve Nonlinear Equations. Iğdır Üniv. Fen Bil Enst. Der. 01 Mart 2020;10(1):563-75. doi:10.21597/jist.583528