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Volumn 182, Issue 1, 2006, Pages 536-543

On the convergence of Adomian decomposition method

Author keywords

Adomian decomposition method; Convergence of Adomian decomposition method; Ordinary differential equations

Indexed keywords

INITIAL VALUE PROBLEMS; NONLINEAR EQUATIONS; ORDINARY DIFFERENTIAL EQUATIONS; PROBLEM SOLVING;

EID: 33750813913     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2006.04.015     Document Type: Article
Times cited : (127)

References (13)
  • 1
    • 0000487641 scopus 로고
    • New ideas for proving convergence of decomposition methods
    • Abbaoui K., and Cherruault Y. New ideas for proving convergence of decomposition methods. Comput. Math. Appl. 29 (1995) 103-108
    • (1995) Comput. Math. Appl. , vol.29 , pp. 103-108
    • Abbaoui, K.1    Cherruault, Y.2
  • 2
    • 0025548782 scopus 로고
    • A review of the decomposition method and some recent results for nonlinear equation
    • Adomian G. A review of the decomposition method and some recent results for nonlinear equation. Math. Comput. Model. 13 7 (1992) 17
    • (1992) Math. Comput. Model. , vol.13 , Issue.7 , pp. 17
    • Adomian, G.1
  • 4
    • 0002095007 scopus 로고
    • Noise terms in decomposition series solution
    • Adomian G., and Rach R. Noise terms in decomposition series solution. Comput. Math. Appl. 24 11 (1992) 61
    • (1992) Comput. Math. Appl. , vol.24 , Issue.11 , pp. 61
    • Adomian, G.1    Rach, R.2
  • 5
    • 0037102888 scopus 로고    scopus 로고
    • On the order of convergence of Adomian method
    • Babolian B., and Biazar J. On the order of convergence of Adomian method. Appl. Math. Comput. 130 (2002) 383-387
    • (2002) Appl. Math. Comput. , vol.130 , pp. 383-387
    • Babolian, B.1    Biazar, J.2
  • 8
    • 33645877651 scopus 로고    scopus 로고
    • Adomian decomposition method with Chebyshev polynomials
    • Hosseini M.M. Adomian decomposition method with Chebyshev polynomials. Appl. Math. Comput. 175 (2006) 1685-1693
    • (2006) Appl. Math. Comput. , vol.175 , pp. 1685-1693
    • Hosseini, M.M.1
  • 10
    • 0040313517 scopus 로고    scopus 로고
    • A reliable modification of Adomian decomposition method
    • Wazwaz A.M. A reliable modification of Adomian decomposition method. Appl. Math. Comput. 102 (1999) 77-86
    • (1999) Appl. Math. Comput. , vol.102 , pp. 77-86
    • Wazwaz, A.M.1
  • 11
    • 0347450513 scopus 로고    scopus 로고
    • A new algorithm for calculating Adomian polynomials for nonlinear operators
    • Wazwaz A.M. A new algorithm for calculating Adomian polynomials for nonlinear operators. Appl. Math. Comput. 111 1 (2000) 33
    • (2000) Appl. Math. Comput. , vol.111 , Issue.1 , pp. 33
    • Wazwaz, A.M.1
  • 12
    • 0037052586 scopus 로고    scopus 로고
    • A new method for solving singular initial value problems in the second-order ordinary differential equations
    • Wazwaz A.M. A new method for solving singular initial value problems in the second-order ordinary differential equations. Appl. Math. Comput. 128 (2002) 45-57
    • (2002) Appl. Math. Comput. , vol.128 , pp. 45-57
    • Wazwaz, A.M.1
  • 13
    • 0035882676 scopus 로고    scopus 로고
    • A new modification of the Adomian decomposition method for linear and nonlinear operators
    • Wazwaz A.M., and El-Sayed S.M. A new modification of the Adomian decomposition method for linear and nonlinear operators. Appl. Math. Comput. 122 (2001) 393-405
    • (2001) Appl. Math. Comput. , vol.122 , pp. 393-405
    • Wazwaz, A.M.1    El-Sayed, S.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.