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Volumn 52, Issue 1-2, 2008, Pages 41-49

New applications of variational iteration method using Adomian polynomials

Author keywords

Adomian decomposition method; Adomian polynomials; He's variational iteration method; Nonlinear physical model

Indexed keywords

ITERATIVE METHODS; MATHEMATICAL MODELS; NONLINEAR EQUATIONS;

EID: 39749149524     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-007-9256-8     Document Type: Article
Times cited : (28)

References (28)
  • 1
    • 33645972898 scopus 로고    scopus 로고
    • Some asymptotic methods for strongly nonlinear equations
    • He, J.H.: Some asymptotic methods for strongly nonlinear equations. Int. J. Mod. Phys. B 20, 1141-1199 (2006)
    • (2006) Int. J. Mod. Phys. B , vol.20 , pp. 1141-1199
    • He, J.H.1
  • 3
    • 34250668369 scopus 로고    scopus 로고
    • Variational iteration method-some recent results and new interpretation
    • in press
    • He, J.H.: Variational iteration method-some recent results and new interpretation. J. Comput. Appl. Math. (2007, in press)
    • (2007) J. Comput. Appl. Math.
    • He, J.H.1
  • 4
    • 0000092673 scopus 로고    scopus 로고
    • Variational iteration method: A kind of nonlinear analytical technique: Some examples
    • 4
    • He, J.H.: Variational iteration method: a kind of nonlinear analytical technique: some examples. Int. J. Nonlinear Mech. 34(4), 699-708 (1999)
    • (1999) Int. J. Nonlinear Mech. , vol.34 , pp. 699-708
    • He, J.H.1
  • 5
    • 30344475545 scopus 로고    scopus 로고
    • Construction of solitary solution and compacton-like solution by variational iteration method
    • 1
    • He, J.H., Wu, X.H.: Construction of solitary solution and compacton-like solution by variational iteration method. Chaos Solitons Fractals 29(1), 108-113 (2006)
    • (2006) Chaos Solitons Fractals , vol.29 , pp. 108-113
    • He, J.H.1    Wu, X.H.2
  • 6
    • 33746584753 scopus 로고    scopus 로고
    • New interpretation of homotopy perturbation method
    • 18
    • He, J.H.: New interpretation of homotopy perturbation method. Int. J. Mod. Phys. B 20(18), 2561-2568 (2006)
    • (2006) Int. J. Mod. Phys. B , vol.20 , pp. 2561-2568
    • He, J.H.1
  • 7
    • 0041621600 scopus 로고    scopus 로고
    • Variational principles for some nonlinear partial differential equations with variables coefficients
    • He, J.H., Wu, X.H.: Variational principles for some nonlinear partial differential equations with variables coefficients. Chaos Solitons Fractals 19, 847-851 (2004)
    • (2004) Chaos Solitons Fractals , vol.19 , pp. 847-851
    • He, J.H.1    Wu, X.H.2
  • 8
    • 0036283904 scopus 로고    scopus 로고
    • An approximate solution for one-dimensional weakly nonlinear oscillations
    • Marinca, V.: An approximate solution for one-dimensional weakly nonlinear oscillations. Int. J. Nonlinear Sci. Numer. Simul. 3, 107 (2002)
    • (2002) Int. J. Nonlinear Sci. Numer. Simul. , vol.3 , pp. 107
    • Marinca, V.1
  • 9
    • 27144467065 scopus 로고    scopus 로고
    • New applications of variational iteration method
    • Abdou, M.A., Soliman, A.A.: New applications of variational iteration method. Phys. D 211, 1-8 (2005)
    • (2005) Phys. D , vol.211 , pp. 1-8
    • Abdou, M.A.1    Soliman, A.A.2
  • 10
    • 19144365030 scopus 로고    scopus 로고
    • Variational iteration method for solving Burger's and coupled Burger's equations
    • Abdou, M.A., Soliman, A.A.: Variational iteration method for solving Burger's and coupled Burger's equations. J. Comput. Appl. Math. 181, 245-251 (2005)
    • (2005) J. Comput. Appl. Math. , vol.181 , pp. 245-251
    • Abdou, M.A.1    Soliman, A.A.2
  • 11
    • 31444453811 scopus 로고    scopus 로고
    • The solution of nonlinear coagulation problem with mass loss
    • Abulwafa, E.M., Abdou, M.A., Mahmoud, A.A.: The solution of nonlinear coagulation problem with mass loss. Chaos Solitons Fractals 29, 313-330 (2006)
    • (2006) Chaos Solitons Fractals , vol.29 , pp. 313-330
    • Abulwafa, E.M.1    Abdou, M.A.2    Mahmoud, A.A.3
  • 12
    • 33845454679 scopus 로고    scopus 로고
    • Nonlinear fluid flows in pipe-like domain problem using variational iteration method
    • Abulwafa, E.M., Abdou, M.A., Mahmoud, A.A.: Nonlinear fluid flows in pipe-like domain problem using variational iteration method. Chaos Solitons Fractals 32, 1384-1397 (2007)
    • (2007) Chaos Solitons Fractals , vol.32 , pp. 1384-1397
    • Abulwafa, E.M.1    Abdou, M.A.2    Mahmoud, A.A.3
  • 13
    • 34250668780 scopus 로고    scopus 로고
    • Numerical solutions of nonlinear evolution equations using variational iteration method
    • in press
    • Soliman, A.A., Abdou, M.A.: Numerical solutions of nonlinear evolution equations using variational iteration method. J. Comput. Appl. Math. (2007, in press)
    • (2007) J. Comput. Appl. Math.
    • Soliman, A.A.1    Abdou, M.A.2
  • 14
    • 32644457439 scopus 로고    scopus 로고
    • The use of variational iteration method, differential transform method and Adomian decomposition method for solving different types of nonlinear partial differential equations
    • 1
    • Bildik, N., Konuralp, A.: The use of variational iteration method, differential transform method and Adomian decomposition method for solving different types of nonlinear partial differential equations. Int. J. Nonlinear Sci. Numer. Simul. 7(1), 65-70 (2006)
    • (2006) Int. J. Nonlinear Sci. Numer. Simul. , vol.7 , pp. 65-70
    • Bildik, N.1    Konuralp, A.2
  • 15
    • 34247629670 scopus 로고    scopus 로고
    • On the variational iteration method
    • Abdou, M.A.: On the variational iteration method. Phys. Lett. A 366, 61-68 (2007)
    • (2007) Phys. Lett. A , vol.366 , pp. 61-68
    • Abdou, M.A.1
  • 16
    • 33748578650 scopus 로고    scopus 로고
    • Variational iteration method for one dimensional nonlinear thermoelasticity
    • Sweilam, N.H., Khader, M.M.: Variational iteration method for one dimensional nonlinear thermoelasticity. Chaos Solitons Fractals 32, 145 (2007)
    • (2007) Chaos Solitons Fractals , vol.32 , pp. 145
    • Sweilam, N.H.1    Khader, M.M.2
  • 17
    • 33748425302 scopus 로고    scopus 로고
    • Numerical comparison of methods for solving linear differential equations of fractional order
    • Momani, S., Odibat, Z.: Numerical comparison of methods for solving linear differential equations of fractional order. Chaos Solitons Fractals 31, 1248-1255 (2007)
    • (2007) Chaos Solitons Fractals , vol.31 , pp. 1248-1255
    • Momani, S.1    Odibat, Z.2
  • 18
    • 30344464250 scopus 로고    scopus 로고
    • The use of variational iteration method, differential transform method and Adomian decomposition method for solving different types of nonlinear partial differential equations
    • 1
    • Odibat, Z., Momani, S.: The use of variational iteration method, differential transform method and Adomian decomposition method for solving different types of nonlinear partial differential equations. Int. J. Nonlinear Sci. Numer. Simul. 7(1), 27-34 (2006)
    • (2006) Int. J. Nonlinear Sci. Numer. Simul. , vol.7 , pp. 27-34
    • Odibat, Z.1    Momani, S.2
  • 19
    • 0038112095 scopus 로고    scopus 로고
    • An explicit and numerical solutions of some fifth-order KdV equation by decomposition method
    • Kaya, D.: An explicit and numerical solutions of some fifth-order KdV equation by decomposition method. Appl. Math. Comput. 144, 353-363 (2003)
    • (2003) Appl. Math. Comput. , vol.144 , pp. 353-363
    • Kaya, D.1
  • 24
    • 33745492440 scopus 로고    scopus 로고
    • Decomposition method for solving a system of coupled fractional-time nonlinear equations
    • Abdou, M.A., Elhanbaly, A.: Decomposition method for solving a system of coupled fractional-time nonlinear equations. Phys. Scr. 73, 338-348 (2006)
    • (2006) Phys. Scr. , vol.73 , pp. 338-348
    • Abdou, M.A.1    Elhanbaly, A.2
  • 25
    • 34250650488 scopus 로고    scopus 로고
    • A comparison between the variational iteration method and Adomian decomposition method
    • in press
    • Wazwaz, A.M.: A comparison between the variational iteration method and Adomian decomposition method. J. Comput. Appl. Math. (2007, in press)
    • (2007) J. Comput. Appl. Math.
    • Wazwaz, A.M.1
  • 27
    • 18144406990 scopus 로고    scopus 로고
    • The numerical solutions of special fourth order boundary value problems by the modified decomposition method
    • Wazwaz, A.M.: The numerical solutions of special fourth order boundary value problems by the modified decomposition method. Int. J. Comput. Math. 97, 345 (2002)
    • (2002) Int. J. Comput. Math. , vol.97 , pp. 345
    • Wazwaz, A.M.1
  • 28
    • 0035452509 scopus 로고    scopus 로고
    • Construction of solitary wave solutions and rational solutions for the KdV equation by Adomian decomposition method
    • Wazwaz, A.M.: Construction of solitary wave solutions and rational solutions for the KdV equation by Adomian decomposition method. Chaos Solitons Fractals 12, 2283 (2001)
    • (2001) Chaos Solitons Fractals , vol.12 , pp. 2283
    • Wazwaz, A.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.