메뉴 건너뛰기




Volumn 163, Issue 2, 2005, Pages 519-524

The solution of two dimensional nonlinear differential equation by the Adomian decomposition method

Author keywords

Adomian decomposition method; Self cancelling noise terms; The nonlinear two dimensional wave equation

Indexed keywords

APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; MATHEMATICAL OPERATORS; NONLINEAR EQUATIONS; PERTURBATION TECHNIQUES; POLYNOMIALS; PROBLEM SOLVING;

EID: 13544264421     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2004.03.029     Document Type: Article
Times cited : (18)

References (11)
  • 1
    • 0021504145 scopus 로고
    • Convergent series solution of nonlinear equations
    • Adomian G. Convergent series solution of nonlinear equations. J. Comput. Appl. Math. 11(2):1984
    • (1984) J. Comput. Appl. Math. , vol.11 , Issue.2
    • Adomian, G.1
  • 2
    • 0021631190 scopus 로고
    • On the convergence region for decomposition solutions
    • Adomian G. On the convergence region for decomposition solutions. J. Comput. Appl. Math. 11:1984
    • (1984) J. Comput. Appl. Math. , vol.11
    • Adomian, G.1
  • 3
    • 0022662038 scopus 로고
    • On the composite nonlinearities and decomposition method
    • Adomian G. On the composite nonlinearities and decomposition method. J. Math. Anal. Appl. 114(1):1986
    • (1986) J. Math. Anal. Appl. , vol.114 , Issue.1
    • Adomian, G.1
  • 4
    • 0041185368 scopus 로고
    • A review of the decomposition method in applied mathematics
    • Adomian G. A review of the decomposition method in applied mathematics. J. Math. Anal. Appl. 135:1988;501-544
    • (1988) J. Math. Anal. Appl. , vol.135 , pp. 501-544
    • Adomian, G.1
  • 5
    • 0033700373 scopus 로고    scopus 로고
    • Non perturbative solution of the Ginzburg-Landau equation
    • Inc M., Bildik N. Non perturbative solution of the Ginzburg-Landau equation. Math. Comput. Appl. 5:2000;113-117
    • (2000) Math. Comput. Appl. , vol.5 , pp. 113-117
    • Inc, M.1    Bildik, N.2
  • 6
    • 0002095007 scopus 로고
    • Noise terms in decomposition solution series
    • Adomian G., Rach G. Noise terms in decomposition solution series. Comput. Math. Appl. 24(11):1992;61-64
    • (1992) Comput. Math. Appl. , vol.24 , Issue.11 , pp. 61-64
    • Adomian, G.1    Rach, G.2
  • 7
    • 0000937070 scopus 로고    scopus 로고
    • Necessary conditions for the appearance of noise terms in decomposition solution series
    • Wazwaz A.M. Necessary conditions for the appearance of noise terms in decomposition solution series. J. Math. Anal. Appl. 5:1997;265-274
    • (1997) J. Math. Anal. Appl. , vol.5 , pp. 265-274
    • Wazwaz, A.M.1
  • 8
    • 0013154297 scopus 로고
    • New results for convergence of Adomian's method applied to integral equations
    • Cherruault Y., Saccomandi G., Some B. New results for convergence of Adomian's method applied to integral equations. Math. Comput. Modell. 16(2):1992;85-93
    • (1992) Math. Comput. Modell. , vol.16 , Issue.2 , pp. 85-93
    • Cherruault, Y.1    Saccomandi, G.2    Some, B.3
  • 9
    • 0000395259 scopus 로고
    • Decomposition method: A new proof of convergence
    • Cherruault Y., Adomian G. Decomposition method: a new proof of convergence. Math. Comput. Modell. 18(12):1993;103-106
    • (1993) Math. Comput. Modell. , vol.18 , Issue.12 , pp. 103-106
    • Cherruault, Y.1    Adomian, G.2
  • 10
    • 0000487641 scopus 로고
    • New ideas for proving convergence of decomposition methods
    • Abbaoui K., Cherruault Y. New ideas for proving convergence of decomposition methods. Comput. Math. Appl. 29(7):1995;103-108
    • (1995) Comput. Math. Appl. , vol.29 , Issue.7 , pp. 103-108
    • Abbaoui, K.1    Cherruault, Y.2
  • 11
    • 43949159125 scopus 로고
    • Convergence of Adomian's method applied to differential equations
    • Abbaoui K., Cherruault Y. Convergence of Adomian's method applied to differential equations. Comput. Math. Appl. 28(5):1994;103-109
    • (1994) Comput. Math. Appl. , vol.28 , Issue.5 , pp. 103-109
    • Abbaoui, K.1    Cherruault, Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.