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Title: :  A two-parameter third-order family of methods for solving nonlinear equations
PaperId: :  10580
Published in:   International Journal Of Advance Research And Innovative Ideas In Education
Publisher:   IJARIIE
e-ISSN:   2395-4396
Volume/Issue:    Volume 5 Issue 4 2019
DUI:    16.0415/IJARIIE-10580
Licence: :   IJARIIE is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

Author NameAuthor Institute
Abdulwali Azamsafiparwan University

Abstract

Mathematics
-
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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IJARIIE Abdulwali Azamsafi. "A two-parameter third-order family of methods for solving nonlinear equations" International Journal Of Advance Research And Innovative Ideas In Education Volume 5 Issue 4 2019 Page 135-142
MLA Abdulwali Azamsafi. "A two-parameter third-order family of methods for solving nonlinear equations." International Journal Of Advance Research And Innovative Ideas In Education 5.4(2019) : 135-142.
APA Abdulwali Azamsafi. (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.
Chicago Abdulwali Azamsafi. "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.
Oxford 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, 2019, p. 135-142. Available from IJARIIE, http://ijariie.com/AdminUploadPdf/A_two_parameter_third_order_family_of_methods_for_solving_nonlinear_equations_ijariie10580.pdf (Accessed : 08 July 2019).
Harvard Abdulwali Azamsafi. (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. 135-142IJARIIE [Online]. Available at: http://ijariie.com/AdminUploadPdf/A_two_parameter_third_order_family_of_methods_for_solving_nonlinear_equations_ijariie10580.pdf (Accessed : 08 July 2019)
IEEE 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, Jul-Aug 2019. [Online]. Available: http://ijariie.com/AdminUploadPdf/A_two_parameter_third_order_family_of_methods_for_solving_nonlinear_equations_ijariie10580.pdf [Accessed : 08 July 2019].
Turabian Abdulwali Azamsafi. "A two-parameter third-order family of methods for solving nonlinear equations." International Journal Of Advance Research And Innovative Ideas In Education [Online]. volume 5 number 4 (08 July 2019).
Vancouver Abdulwali Azamsafi. A two-parameter third-order family of methods for solving nonlinear equations. International Journal Of Advance Research And Innovative Ideas In Education [Internet]. 2019 [Cited : 08 July 2019]; 5(4) : 135-142. Available from: http://ijariie.com/AdminUploadPdf/A_two_parameter_third_order_family_of_methods_for_solving_nonlinear_equations_ijariie10580.pdf
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