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Unifying fourth-order family of iterative methods

✍ Scribed by S.K. Khattri; M.A. Noor; E. Al-Said

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
220 KB
Volume
24
Category
Article
ISSN
0893-9659

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✦ Synopsis

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.

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