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Volumn 76, Issue 2, 2000, Pages 159-172

Decomposition method for solving higher dimensional initial boundary value problems of variable coefficients

Author keywords

[No Author keywords available]

Indexed keywords

LINEAR EQUATIONS; MATHEMATICAL MODELS; NONLINEAR EQUATIONS;

EID: 0034460352     PISSN: 00207160     EISSN: None     Source Type: Journal    
DOI: 10.1080/00207160008805017     Document Type: Article
Times cited : (6)

References (18)
  • 2
    • 0041185368 scopus 로고
    • A review of the decomposition method in applied mathematics
    • Adomian, G. (1988). A review of the decomposition method in applied mathematics, J. Math. Anal. Appl., 135, 501-544.
    • (1988) J. Math. Anal. Appl. , vol.135 , pp. 501-544
    • Adomian, G.1
  • 3
    • 4243221962 scopus 로고
    • On the solution of partial differential equations with specified boundary conditions
    • Adomian, G. (1994). On the solution of partial differential equations with specified boundary conditions, Mathl. Comput. Modelling. 140(2), 569-581.
    • (1994) Mathl. Comput. Modelling. , vol.140 , Issue.2 , pp. 569-581
    • Adomian, G.1
  • 4
    • 0002095007 scopus 로고
    • Noise terms in decomposition solution series
    • Adomian, G. and Rach, R. (1992). Noise terms in decomposition solution series, Computers Math. Appl., 24(11), 61-64.
    • (1992) Computers Math. Appl. , vol.24 , Issue.11 , pp. 61-64
    • Adomian, G.1    Rach, R.2
  • 5
    • 0013154297 scopus 로고
    • New results for convergence of Adomian's method applied to integral equations
    • Cherrauault, Y., Saccomandi, G. and Some, B. (1992). New results for convergence of Adomian's method applied to integral equations. Math. Comput. Modelling, 16(2), 85-93.
    • (1992) Math. Comput. Modelling , vol.16 , Issue.2 , pp. 85-93
    • Cherrauault, Y.1    Saccomandi, G.2    Some, B.3
  • 8
    • 0343333602 scopus 로고
    • Symmetries of differential equations: The hypergeometric and euler-darboux equations
    • Miller, W. Jr. (1973). Symmetries of differential equations: The hypergeometric and Euler-Darboux equations, It SIAM J. Math. Anal., 4(2), 314-328.
    • (1973) It SIAM J. Math. Anal. , vol.4 , Issue.2 , pp. 314-328
    • Miller W., Jr.1
  • 9
    • 36549103799 scopus 로고
    • A variable coefficient Kortweg-de Vries equation: Similarity analysis and exact solution
    • Nimala, N., Vedan, M. J. and Baby, B. V. (1986). A variable coefficient Kortweg-de Vries equation: Similarity analysis and exact solution, J. Math. Physics, 27(11), 2644-2646.
    • (1986) J. Math. Physics , vol.27 , Issue.11 , pp. 2644-2646
    • Nimala, N.1    Vedan, M.J.2    Baby, B.V.3
  • 11
    • 0002811385 scopus 로고    scopus 로고
    • Analytical approximations and padé approximants for Volterra's population model
    • Wazwaz, A. M. (1999). Analytical approximations and Padé approximants for Volterra's population model, Applied Mathematics and Computation, 100, 13-25.
    • (1999) Applied Mathematics and Computation , vol.100 , pp. 13-25
    • Wazwaz, A.M.1
  • 12
    • 0347450513 scopus 로고    scopus 로고
    • A new algorithm for calculating adomian polynomials for nonlinear polynomials
    • Wazwaz, A. M. (2000). A new algorithm for calculating Adomian polynomials for nonlinear polynomials, Applied Mathematics and Computation, 111(1), 33-51.
    • (2000) Applied Mathematics and Computation , vol.111 , Issue.1 , pp. 33-51
    • Wazwaz, A.M.1
  • 13
    • 0002751751 scopus 로고    scopus 로고
    • The modified decomposition method and padé approximants for solving the Thomas-Fermi equation
    • Wazwaz, A. M. (1999). The modified decomposition method and Padé approximants for solving the Thomas-Fermi equation, Applied Mathematics and Computation, 105, 11-19.
    • (1999) Applied Mathematics and Computation , vol.105 , pp. 11-19
    • Wazwaz, A.M.1
  • 14
    • 0039943525 scopus 로고
    • On the solution of the fourth order parabolic equation by the decomposition method
    • Wazwaz, A. M. (1995). On the solution of the fourth order parabolic equation by the decomposition method, Intern. J. Computer Math., 57, 213-217.
    • (1995) Intern. J. Computer Math. , vol.57 , pp. 213-217
    • Wazwaz, A.M.1
  • 15
    • 0031324875 scopus 로고    scopus 로고
    • Equality of partial solutions in the decomposition method for partial differential equations
    • Wazwaz, A. M. (1997). Equality of partial solutions in the decomposition method for partial differential equations, Applied Mathematics and Computation, 65, 293-308.
    • (1997) Applied Mathematics and Computation , vol.65 , pp. 293-308
    • Wazwaz, A.M.1
  • 16
    • 23644437348 scopus 로고    scopus 로고
    • Necessary conditions for the appearance of noise terms in decomposition solution series
    • Wazwaz, A. M. (1997). Necessary conditions for the appearance of noise terms in decomposition solution series, Applied Mathematics and Computation, 81, 199-204.
    • (1997) Applied Mathematics and Computation , vol.81 , pp. 199-204
    • Wazwaz, A.M.1
  • 17
    • 0042623062 scopus 로고
    • l=0 by normal-ordering exponential operators
    • l=0 by normal-ordering exponential operators, J. Math. Physics, 11(4), 1235-1237.
    • (1970) J. Math. Physics , vol.11 , Issue.4 , pp. 1235-1237
    • Wilcox, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.