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Volumn 50, Issue 10-12, 2005, Pages 1559-1568

Iterative methods improving newton's method by the decomposition method

Author keywords

Adomian decomposition method; Iterative methods; Newton's method; Nonlinear equations; Order of convergence

Indexed keywords

COMPUTATIONAL METHODS; CONVERGENCE OF NUMERICAL METHODS; NONLINEAR EQUATIONS;

EID: 28844434937     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2005.08.022     Document Type: Article
Times cited : (169)

References (14)
  • 1
    • 0036778809 scopus 로고    scopus 로고
    • Solution of nonlinear equations by modified Adomian decomposition method
    • E. Babolian, and J. Biazar Solution of nonlinear equations by modified Adomian decomposition method Appl. Math. Comput. 132 2002 162 172
    • (2002) Appl. Math. Comput. , vol.132 , pp. 162-172
    • Babolian, E.1    Biazar, J.2
  • 2
    • 3242678851 scopus 로고    scopus 로고
    • A variant of Cauchy's method with accelerated fifth-order convergence
    • M. Grau, and M. Noguera A variant of Cauchy's method with accelerated fifth-order convergence Appl. Math. Lett. 17 5 2004 509 517
    • (2004) Appl. Math. Lett. , vol.17 , Issue.5 , pp. 509-517
    • Grau, M.1    Noguera, M.2
  • 3
    • 11244299419 scopus 로고    scopus 로고
    • On Newton-type methods with cubic convergence
    • H.H.H. Homeier On Newton-type methods with cubic convergence J. Comput. Appl. Math. 176 2005 425 432
    • (2005) J. Comput. Appl. Math. , vol.176 , pp. 425-432
    • Homeier, H.H.H.1
  • 4
    • 0035251838 scopus 로고    scopus 로고
    • New high-order convergence iteration methods without employing derivatives for solving nonlinear equations
    • X. Wu, and D. Fu New high-order convergence iteration methods without employing derivatives for solving nonlinear equations Computers Math. Applic. 41 3/4 2001 489 495
    • (2001) Computers Math. Applic. , vol.41 , Issue.34 , pp. 489-495
    • Wu, X.1    Fu, D.2
  • 5
    • 0012466757 scopus 로고    scopus 로고
    • A variant of Newton's method with accelerated third-order convergence
    • S. Weerakoon, and G.I. Fernando A variant of Newton's method with accelerated third-order convergence Appl. Math. Lett. 17 8 2000 87 93
    • (2000) Appl. Math. Lett. , vol.17 , Issue.8 , pp. 87-93
    • Weerakoon, S.1    Fernando, G.I.2
  • 6
    • 43949158252 scopus 로고
    • Convergence of Adomian's method applied to nonlinear equations
    • K. Abbaoui, and Y. Cherruault Convergence of Adomian's method applied to nonlinear equations Mathl. Comput. Modelling 20 9 1994 69 73
    • (1994) Mathl. Comput. Modelling , vol.20 , Issue.9 , pp. 69-73
    • Abbaoui, K.1    Cherruault, Y.2
  • 7
    • 0042522428 scopus 로고    scopus 로고
    • Improving Newton-Raphson method for nonlinear equations by modified Adomian decomposition method
    • S. Abbasbandy Improving Newton-Raphson method for nonlinear equations by modified Adomian decomposition method Appl. Math. Comput. 145 2003 887 893
    • (2003) Appl. Math. Comput. , vol.145 , pp. 887-893
    • Abbasbandy, S.1
  • 9
    • 0021865952 scopus 로고
    • On the solution of algebraic equations by the decomposition method
    • G. Adomian, and R. Rach On the solution of algebraic equations by the decomposition method Math. Anal. Appl. 105 1985 141 166
    • (1985) Math. Anal. Appl. , vol.105 , pp. 141-166
    • Adomian, G.1    Rach, R.2
  • 11
    • 0000487641 scopus 로고
    • New idea for proving convergence of decomposition methods
    • K. Abbaoui, and Y. Cherruault New idea for proving convergence of decomposition methods Computers Math. Applic. 29 7 1995 103 108
    • (1995) Computers Math. Applic. , vol.29 , Issue.7 , pp. 103-108
    • Abbaoui, K.1    Cherruault, Y.2
  • 12
    • 0000395259 scopus 로고
    • Decomposition methods: A new proof of convergence
    • Y. Cherruault, and G. Adomian Decomposition methods: A new proof of convergence Mathl. Comput. Modelling 18 12 1993 103 106
    • (1993) Mathl. Comput. Modelling , vol.18 , Issue.12 , pp. 103-106
    • Cherruault, Y.1    Adomian, G.2
  • 14
    • 0037431566 scopus 로고    scopus 로고
    • Some variant of Newton's method with third-order convergence
    • M. Frontini, and E. Sormani Some variant of Newton's method with third-order convergence J. Comput. Appl. Math. 140 2003 419 426
    • (2003) J. Comput. Appl. Math. , vol.140 , pp. 419-426
    • Frontini, M.1    Sormani, E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.