Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1708472 | Applied Mathematics Letters | 2011 | 6 Pages |
Abstract
In this work, we develop a new two-parameter family of iterative methods for solving nonlinear scalar equations. One of the parameters is defined through an infinite power series consisting of real coefficients while the other parameter is a real number. The methods of the family are fourth-order convergent and require only three evaluations during each iteration. It is shown that various fourth-order iterative methods in the published literature are special cases of the developed family. Convergence analysis shows that the methods of the family are fourth-order convergent which is also verified through the numerical work. Computations are performed to explore the efficiency of various methods of the family.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
S.K. Khattri, M.A. Noor, E. Al-Said,