A two-parameter third-order family of methods for solving nonlinear equations

Abdulwali Azamsafi

A two-parameter third-order family of methods for solving nonlinear equations

July 2019

Vol-5, Issue-4

Paper ID: 10580

ISSN: 2395-4396

Downloads: 0

Abstract & Details

Research Area

Mathematics

Keywords

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Abstract

In this paper, we present a new two-parameter family of iterative methods for solving nonlinear equations which includes, as a particular case, the classical Potra and Pta´k third-order method. Per iteration the new methods require two evaluations of the function and one evaluation of its ﬁrst derivative. It is shown that each family member is cubically convergent. Several examples are given to illustrate the performnce of the family members.

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Author Information

#	Name	Institute / Affiliation
1	Abdulwali Azamsafi	parwan University

How to Cite

Use the following formats to cite this article in your research.

APA Style

Azamsafi, Abdulwali (2019). A two-parameter third-order family of methods for solving nonlinear equations. International Journal of Advance Research and Innovative Ideas In Education, 5(4), 135-142.

MLA Style

Azamsafi, Abdulwali. "A two-parameter third-order family of methods for solving nonlinear equations." International Journal of Advance Research and Innovative Ideas In Education, vol. 5, no. 4, 2019, pp. 135-142.

IEEE Style

Abdulwali Azamsafi, "A two-parameter third-order family of methods for solving nonlinear equations," International Journal of Advance Research and Innovative Ideas In Education, vol. 5, no. 4, pp. 135-142, 2019.

Vancouver Style

Azamsafi Abdulwali. A two-parameter third-order family of methods for solving nonlinear equations. International Journal of Advance Research and Innovative Ideas In Education. 2019;5(4):135-142.

Harvard Style

Azamsafi, Abdulwali (2019) 'A two-parameter third-order family of methods for solving nonlinear equations', International Journal of Advance Research and Innovative Ideas In Education, 5(4), pp. 135-142.

Chicago Style

Azamsafi, Abdulwali. "A two-parameter third-order family of methods for solving nonlinear equations." International Journal of Advance Research and Innovative Ideas In Education 5, no. 4 (2019): 135-142.

Turabian Style

Azamsafi, Abdulwali. "A two-parameter third-order family of methods for solving nonlinear equations." International Journal of Advance Research and Innovative Ideas In Education 5, no. 4 (2019): 135-142.