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Volumn 70, Issue 7, 2007, Pages 876-881

Numerical solution of non-linear Klein-Gordon equations by variational iteration method

Author keywords

Non linear Klein Gordon equation; Non linear partial differential equations; Variational iteration method

Indexed keywords

ITERATIVE METHODS; MATHEMATICAL MODELS; PARTIAL DIFFERENTIAL EQUATIONS;

EID: 34249032106     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.1924     Document Type: Article
Times cited : (109)

References (18)
  • 1
    • 33747403465 scopus 로고    scopus 로고
    • On the numerical implementation of variational arbitrary Lagrangian-Eulerian (VALE) formulations
    • Mosler J, Ortiz M. On the numerical implementation of variational arbitrary Lagrangian-Eulerian (VALE) formulations. International Journal for Numerical Methods in Engineering 2006; 67(9):1272-1289.
    • (2006) International Journal for Numerical Methods in Engineering , vol.67 , Issue.9 , pp. 1272-1289
    • Mosler, J.1    Ortiz, M.2
  • 4
    • 0032307661 scopus 로고    scopus 로고
    • Approximate analytical solution for seepage flow with fractional derivatives in porous media
    • He JH. Approximate analytical solution for seepage flow with fractional derivatives in porous media. Computer Methods in Applied Mechanics and Engineering 1998; 167:57-68.
    • (1998) Computer Methods in Applied Mechanics and Engineering , vol.167 , pp. 57-68
    • He, J.H.1
  • 5
    • 0032308350 scopus 로고    scopus 로고
    • Approximate solution of nonlinear differential equations with convolution product nonlinearities
    • He JH. Approximate solution of nonlinear differential equations with convolution product nonlinearities. Computer Methods in Applied Mechanics and Engineering 1998; 167:69-73.
    • (1998) Computer Methods in Applied Mechanics and Engineering , vol.167 , pp. 69-73
    • He, J.H.1
  • 6
    • 0000092673 scopus 로고    scopus 로고
    • Variational iteration method - a kind of non-linear analytical technique: Some examples
    • He JH. Variational iteration method - a kind of non-linear analytical technique: some examples. International Journal of Nonlinear Mechanics 1999; 34:699-708.
    • (1999) International Journal of Nonlinear Mechanics , vol.34 , pp. 699-708
    • He, J.H.1
  • 7
    • 0040184009 scopus 로고    scopus 로고
    • Variational iteration method for autonomous ordinary differential systems
    • He JH. Variational iteration method for autonomous ordinary differential systems. Applied Mathematics and Computation 2000; 114:115-123.
    • (2000) Applied Mathematics and Computation , vol.114 , pp. 115-123
    • He, J.H.1
  • 8
    • 0041621600 scopus 로고    scopus 로고
    • Variational principle for some nonlinear partial differential equations with variable coefficients
    • He JH. Variational principle for some nonlinear partial differential equations with variable coefficients. Chaos, Solitons and Fractals 2004; 19:847-851.
    • (2004) Chaos, Solitons and Fractals , vol.19 , pp. 847-851
    • He, J.H.1
  • 9
    • 27144467065 scopus 로고    scopus 로고
    • New applications of variational iteration method
    • Abdou MA, Soliman AA. New applications of variational iteration method. Physica D 2005; 211:1-8.
    • (2005) Physica 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 MA, Soliman AA. Variational iteration method for solving Burger's and coupled Burger's equations. Journal of Computational and Applied Mathematics 2005; 181:245-251.
    • (2005) Journal of Computational and Applied Mathematics , vol.181 , pp. 245-251
    • Abdou, M.A.1    Soliman, A.A.2
  • 11
    • 24944474278 scopus 로고    scopus 로고
    • Application of He's variational iteration method to Helmholtz equation
    • Momani S, Abuasad S. Application of He's variational iteration method to Helmholtz equation. Chaos, Solitons and Fractals 2006; 27:1119-1123.
    • (2006) Chaos, Solitons and Fractals , vol.27 , pp. 1119-1123
    • Momani, S.1    Abuasad, S.2
  • 12
    • 30344475545 scopus 로고    scopus 로고
    • Construction of solitary solution and compacton-like solution by variational iteration method
    • He JH, Wu X. Construction of solitary solution and compacton-like solution by variational iteration method. Chaos, Solitons and Fractals 2006; 29:108-113.
    • (2006) Chaos, Solitons and Fractals , vol.29 , pp. 108-113
    • He, J.H.1    Wu, X.2
  • 13
    • 33645972898 scopus 로고    scopus 로고
    • Some asymptotic methods for strongly nonlinear equations
    • He JH. Some asymptotic methods for strongly nonlinear equations. International Journal of Modern Physics B 2006; 20:1141-1199.
    • (2006) International Journal of Modern Physics B , vol.20 , pp. 1141-1199
    • He, J.H.1
  • 14
    • 34249035965 scopus 로고    scopus 로고
    • He JH. Non-Perturbative Methods for Strongly Nonlinear Problems. Berlin:dissertation.de-Verlag im Internet GmbH, 2006.
    • He JH. Non-Perturbative Methods for Strongly Nonlinear Problems. Berlin:dissertation.de-Verlag im Internet GmbH, 2006.
  • 15
    • 0035341580 scopus 로고    scopus 로고
    • A reliable algorithm for obtaining positive solutions for nonlinear boundary value problems
    • Wazwaz A. A reliable algorithm for obtaining positive solutions for nonlinear boundary value problems. Computers and Mathematics with Applications 2001; 41:1237-1244.
    • (2001) Computers and Mathematics with Applications , vol.41 , pp. 1237-1244
    • Wazwaz, A.1
  • 16
    • 33747332288 scopus 로고    scopus 로고
    • Auxiliary equation method and new solutions of Klein-Gordon equations
    • Sirendaoreji. Auxiliary equation method and new solutions of Klein-Gordon equations. Chaos, Solitons and Fractals 2007; 31:943-950.
    • (2007) Chaos, Solitons and Fractals , vol.31 , pp. 943-950
    • Sirendaoreji1
  • 17
    • 32144452761 scopus 로고    scopus 로고
    • The modified decomposition method for analytic treatment of differential equations
    • Wazwaz A. The modified decomposition method for analytic treatment of differential equations. Applied Mathematics and Computation 2006; 173:165-176.
    • (2006) Applied Mathematics and Computation , vol.173 , pp. 165-176
    • Wazwaz, A.1
  • 18
    • 27744509855 scopus 로고    scopus 로고
    • Compactons, solitons and periodic solutions for some forms of nonlinear Klein-Gordon equations
    • Wazwaz A. Compactons, solitons and periodic solutions for some forms of nonlinear Klein-Gordon equations. Chaos, Solitons and Fractals 2006; 28:1005-1013.
    • (2006) Chaos, Solitons and Fractals , vol.28 , pp. 1005-1013
    • Wazwaz, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.