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NEW FAMILY OF ITERATIVE METHODS FOR SOLVING NON-LINEAR EQUATIONS USING NEW ADOMIAN POLYNOMIALS

이병수|Arif Rafiq|Ayesha Inam Pasha
한국수학교육학회|2015.08|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제22권 제3호|pp. 231-243

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참고문헌

키워드

nonlinear equationsiterative methodsnew Adomian polynomials.
주제분류수학

초록

We suggest and analyze a family of multi-step iterative methods for solving nonlinear equations using the decomposition technique mainly due to Ra¯q et al. [13].

Abstract

We suggest and analyze a family of multi-step iterative methods for solving nonlinear equations using the decomposition technique mainly due to Ra¯q et al. [13].

참고문헌 (14)

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  4. G. Adomin, "Solving Frontier problems of Physics: The Decomposition Method" (1994), Kluwer
  5. G. Adomian, "Noise terms in decomposition series solution", Comput. Math. Appl, 24(11), pp.61~64 (1992)
  6. C. Chun, "Iterative methods improving Newton method by the decomposition method", Comput. Math. Appl, 50, pp.1559~1568 (2005)
  7. M. Frontini, "Some variants of Newton method with third order conver-gence", J. Comput. Appl. Math, 140, pp.419~426 (2003)
  8. J.H. He, "A new iteration method for solving algebraic equations", Appl. Math. Comput, 135, pp.81~84 (2003)
  9. H.H. Homeier, "On Newton-type methods with cubic convergence", J. Comput. Appl. Math, 176, pp.425~432 (2005)
  10. X. Luo, "A note on the new iteration for solving algebraic equations", Appl. Math. Com-put, 171, pp.1177~1183 (2005)
  11. M.A. Noor, "New family of iterative methods for nonlinear equations", Appl. Math. Com-put, 190, pp.553~558 (2007)
  12. M.A. Noor, "Some iterative schemes for nonlinear equations", Appl. Math. Comput, 183, pp.774~779 (2006)
  13. A. Rafiq, "On Adomian type decomposition method and its convergence", Nonlinear Analysis Forum, 16, pp.169~181 (2011)
  14. S. Weerakoon, "A variant of Newton method with accelerated third order convergence", Appl. Math. Lett, 17, pp.87~93 (2000)

관련 논문AI추천

SOME MULTI-STEP ITERATIVE SCHEMES FOR SOLVING NONLINEAR EQUATIONS이병수, Arif Rafiq, Ayesha Inam Pasha한국수학교육학회 · 이론수학과 교직수학2013 · 제20권 제4호A QUADRATICALLY CONVERGENT ITERATIVE METHOD FOR NONLINEAR EQUATIONS윤병인, Miodrag S. Petkovic대한수학회 · 대한수학회지2011 · 제48권 제3호New Sixth-Order Improvements of the Jarratt Method김용일경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2010 · 제50권 제1호Revised adomain decomposition method for finding all solutions of nonlinear equations and system of nonlinear equationsB. Kafash, M. M. Hosseini장전수학회 · Advanced Studies in Contemporary Mathematics2011 · 제21권 제3호A new optimal eighth-order family of multiple root findersDejan Cebic, Nebojsa M. Ralevic대한수학회 · 대한수학회지2022 · 제59권 제6호Local convergence for some third-order iterative methods under weak conditions조열제, Ioannis K. Argyros, Santhosh George대한수학회 · 대한수학회지2016 · 제53권 제4호

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