A family of fifth-order convergent methods for solving nonlinear equations using variational iteration technique. Issue 3 (3rd April 2018)

• Record Type: Journal Article
• Authors: Zhang, Xiujun; Shah, Farooq Ahmed; Li, Yingfang; Yan, Li; Baig, Abdul Qudair; Farahani, Muhammad Reza
• Is Part Of: Journal of information & optimization sciences. Volume 39:Issue 3(2018)
• Page Start: 673
• Page End: 694
• Publication Date: 2018-04-03
• Subjects: 05C15 -- 05C78; Nonlinear equations -- Variational iteration technique -- Newton's method -- Taylor series -- Convergence -- Examples; Electronic data processing -- Periodicals; Information science -- Periodicals; Mathematical optimization -- Periodicals; 519.6
• DOI: 10.1080/02522667.2018.1443628
• Languages: English
• ISSNs: 0252-2667

Abstract

Abstract: In this paper, we suggest and analyze new higher order family of iterative methods for solving nonlinear equations by using variational iteration technique. We give several examples to illustrate the efficiency of the proposed methods. Comparison with other similar methods is also given. New methods can be considered as an alternative of the existing methods. This technique can be used to suggest a wide class of new iterative methods for solving nonlinear equations.