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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.20 No.4

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SOME MULTI-STEP ITERATIVE SCHEMES FOR SOLVING NONLINEAR EQUATIONS

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2013, v.20 no.4, pp.277-286
https://doi.org/10.7468/jksmeb.2013.20.4.277
Rafiq, Arif
Pasha, Ayesha Inam
Lee, Byung-Soo
Rafiq,, A. , Pasha,, A. I. , & Lee,, B. (2013). SOME MULTI-STEP ITERATIVE SCHEMES FOR SOLVING NONLINEAR EQUATIONS. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 20(4), 277-286, https://doi.org/10.7468/jksmeb.2013.20.4.277

Abstract

In this paper, we suggest and analyze a family of multi-step iterative methods which do not involve the high-order differentials of the function for solving nonlinear equations using a different type of decomposition (mainly due to Noor and Noor [15]). We also discuss the convergence of the new proposed methods. Several numerical examples are given to illustrate the efficiency and the performance of the new iterative method. Our results can be considered as an improvement and refinement of the previous results.

keywords
nonlinear equations, iterative methods

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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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