Research Article

A Hybrid Third-Order Iterative Process To Solve Nonlinear Equations

Volume: 10 Number: 1 March 1, 2020
EN TR

A Hybrid Third-Order Iterative Process To Solve Nonlinear Equations

Abstract

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.

Keywords

References

  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.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

March 1, 2020

Submission Date

June 28, 2019

Acceptance Date

October 23, 2019

Published in Issue

Year 2020 Volume: 10 Number: 1

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. J. Inst. Sci. and Tech. 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 (March 1, 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”, J. Inst. Sci. and Tech., vol. 10, no. 1, pp. 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 (March 1, 2020): 563-575. https://doi.org/10.21597/jist.583528.
JAMA
1.Doğan K. A Hybrid Third-Order Iterative Process To Solve Nonlinear Equations. J. Inst. Sci. and Tech. 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, vol. 10, no. 1, Mar. 2020, pp. 563-75, doi:10.21597/jist.583528.
Vancouver
1.Kadri Doğan. A Hybrid Third-Order Iterative Process To Solve Nonlinear Equations. J. Inst. Sci. and Tech. 2020 Mar. 1;10(1):563-75. doi:10.21597/jist.583528