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Volumn 58, Issue 11-12, 2009, Pages 2160-2166

Improvement of He's variational iteration method for solving systems of differential equations

Author keywords

He's variational iteration method; Modified variational iteration method; System of differential equations; System of integral equations; System of partial differential equations

Indexed keywords

HE'S VARIATIONAL ITERATION METHOD; MODIFIED VARIATIONAL ITERATION METHOD; SYSTEM OF DIFFERENTIAL EQUATIONS; SYSTEM OF INTEGRAL EQUATIONS; SYSTEM OF PARTIAL DIFFERENTIAL EQUATIONS;

EID: 70350570458     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2009.03.081     Document Type: Article
Times cited : (49)

References (36)
  • 1
    • 33645972898 scopus 로고    scopus 로고
    • Some asymptotic methods for strongly nonlinear equations
    • He J.H. Some asymptotic methods for strongly nonlinear equations. International Journal of Modern Physics B 20 10 (2006) 1141-1199
    • (2006) International Journal of Modern Physics B , vol.20 , Issue.10 , pp. 1141-1199
    • He, J.H.1
  • 2
    • 0040184009 scopus 로고    scopus 로고
    • Variational iteration method for autonomous ordinary differential systems
    • He J.H. Variational iteration method for autonomous ordinary differential systems. Applied Mathematics and Computation 114 (2000) 115-123
    • (2000) Applied Mathematics and Computation , vol.114 , pp. 115-123
    • He, J.H.1
  • 3
    • 24944474278 scopus 로고    scopus 로고
    • Application of He's variational iteration method to Helmholtz equation
    • Momani S., and Abuasad S. Application of He's variational iteration method to Helmholtz equation. Chaos, Solitons and Fractals 27 (2006) 1119-1123
    • (2006) Chaos, Solitons and Fractals , vol.27 , pp. 1119-1123
    • Momani, S.1    Abuasad, S.2
  • 4
    • 19144365030 scopus 로고    scopus 로고
    • Variational iteration method for solving Burgers' and coupled Burgers' equations
    • Abdou M.A., and Soliman A.A. Variational iteration method for solving Burgers' and coupled Burgers' equations. Journal of Computational and Applied Mathematics 181 (2005) 245-251
    • (2005) Journal of Computational and Applied Mathematics , vol.181 , pp. 245-251
    • Abdou, M.A.1    Soliman, A.A.2
  • 5
    • 33646878106 scopus 로고    scopus 로고
    • Analytical approach to linear fractional partial differential equations arising in fluid mechanics
    • Momani S., and Odibat Z. Analytical approach to linear fractional partial differential equations arising in fluid mechanics. Physics Letters A 355 (2006) 271-279
    • (2006) Physics Letters A , vol.355 , pp. 271-279
    • Momani, S.1    Odibat, Z.2
  • 6
    • 34247391589 scopus 로고    scopus 로고
    • Numerical simulation of KdV and mKdV equations with initial conditions by the variational iteration method
    • Inc M. Numerical simulation of KdV and mKdV equations with initial conditions by the variational iteration method. Chaos, Solitons and Fractals 34 (2007) 1075-1081
    • (2007) Chaos, Solitons and Fractals , vol.34 , pp. 1075-1081
    • Inc, M.1
  • 7
    • 30344475545 scopus 로고    scopus 로고
    • Construction of solitary solution and compacton-like solution by variational iteration method
    • He J.H., and Wu X.H. Construction of solitary solution and compacton-like solution by variational iteration method. Chaos, Solitons and Fractals 29 (2006) 108-113
    • (2006) Chaos, Solitons and Fractals , vol.29 , pp. 108-113
    • He, J.H.1    Wu, X.H.2
  • 8
    • 31444443560 scopus 로고    scopus 로고
    • A numerical simulation and explicit solutions of KdV-Burgers' and Lax's seventh-order KdV equations
    • Soliman A.A. A numerical simulation and explicit solutions of KdV-Burgers' and Lax's seventh-order KdV equations. Chaos, Solitons and Fractals 29 (2006) 294-302
    • (2006) Chaos, Solitons and Fractals , vol.29 , pp. 294-302
    • Soliman, A.A.1
  • 9
    • 0000092673 scopus 로고    scopus 로고
    • Variational iteration method-a kind of non-linear analytical technique: some examples
    • He J.H. Variational iteration method-a kind of non-linear analytical technique: some examples. International Journal of Nonlinear Mechanics 34 (1999) 699-708
    • (1999) International Journal of Nonlinear Mechanics , vol.34 , pp. 699-708
    • He, J.H.1
  • 10
    • 33847215123 scopus 로고    scopus 로고
    • He's variational iteration method for computing a control parameter in a semi-linear inverse parabolic equation
    • Tatari M., and Dehghan M. He's variational iteration method for computing a control parameter in a semi-linear inverse parabolic equation. Chaos, Solitons and Fractals 33 (2007) 671-677
    • (2007) Chaos, Solitons and Fractals , vol.33 , pp. 671-677
    • Tatari, M.1    Dehghan, M.2
  • 11
    • 35348829740 scopus 로고    scopus 로고
    • Identifying an unknown function in a parabolic equation with overspecified data via He's variational iteration method
    • Dehghan M., and Tatari M. Identifying an unknown function in a parabolic equation with overspecified data via He's variational iteration method. Chaos, Solitons and Fractals 36 (2008) 157-166
    • (2008) Chaos, Solitons and Fractals , vol.36 , pp. 157-166
    • Dehghan, M.1    Tatari, M.2
  • 12
    • 39149109311 scopus 로고    scopus 로고
    • Application of He's variational iteration method for solving the Cauchy reaction-diffusion problem
    • Dehghan M., and Shakeri S. Application of He's variational iteration method for solving the Cauchy reaction-diffusion problem. Journal of Computational and Applied Mathematics 214 (2008) 435-446
    • (2008) Journal of Computational and Applied Mathematics , vol.214 , pp. 435-446
    • Dehghan, M.1    Shakeri, S.2
  • 13
    • 34848823089 scopus 로고    scopus 로고
    • Numerical solution of a biological population model using He's variational iteration method
    • Shakeri F., and Dehghan M. Numerical solution of a biological population model using He's variational iteration method. Computers and Mathematics with Applications 54 (2007) 1197-1209
    • (2007) Computers and Mathematics with Applications , vol.54 , pp. 1197-1209
    • Shakeri, F.1    Dehghan, M.2
  • 14
    • 47949123722 scopus 로고    scopus 로고
    • Solution of a model describing biological species living together using the variational iteration method
    • Shakeri F., and Dehghan M. Solution of a model describing biological species living together using the variational iteration method. Mathematical and Computer Modelling 48 (2008) 685-699
    • (2008) Mathematical and Computer Modelling , vol.48 , pp. 685-699
    • Shakeri, F.1    Dehghan, M.2
  • 16
    • 34748870677 scopus 로고    scopus 로고
    • Variational iteration method: New development and applications
    • He J.H., and Wu X.H. Variational iteration method: New development and applications. Computers and Mathematics with Applications 54 (2007) 881-894
    • (2007) Computers and Mathematics with Applications , vol.54 , pp. 881-894
    • He, J.H.1    Wu, X.H.2
  • 17
    • 34250668369 scopus 로고    scopus 로고
    • Variational iteration method - Some recent results and new interpretations
    • He J.H. Variational iteration method - Some recent results and new interpretations. Journal of Computational and Applied Mathematics 207 (2007) 3-17
    • (2007) Journal of Computational and Applied Mathematics , vol.207 , pp. 3-17
    • He, J.H.1
  • 18
    • 36248955605 scopus 로고    scopus 로고
    • Application of the variational iteration method to the boundary value problems with jump discontinuities arising in solid mechanics, International
    • Ozer H. Application of the variational iteration method to the boundary value problems with jump discontinuities arising in solid mechanics, International. Journal of Nonlinear Sciences and Numerical Simulation 8 (2007) 513-518
    • (2007) Journal of Nonlinear Sciences and Numerical Simulation , vol.8 , pp. 513-518
    • Ozer, H.1
  • 21
    • 33749530855 scopus 로고    scopus 로고
    • The use of He's variational iteration method for solving a Fokker-Planck equation
    • Dehghan M., and Tatari M. The use of He's variational iteration method for solving a Fokker-Planck equation. Physica Scripta 74 (2006) 310-316
    • (2006) Physica Scripta , vol.74 , pp. 310-316
    • Dehghan, M.1    Tatari, M.2
  • 22
    • 34548509029 scopus 로고    scopus 로고
    • Approximate solution of a differential equation arising in astrophysics using the variational iteration method
    • Dehghan M., and Shakeri F. Approximate solution of a differential equation arising in astrophysics using the variational iteration method. New Astronomy 13 (2008) 53-59
    • (2008) New Astronomy , vol.13 , pp. 53-59
    • Dehghan, M.1    Shakeri, F.2
  • 23
    • 33846523615 scopus 로고    scopus 로고
    • Solution of problems in calculus of variations via He's variational iteration method
    • Tatari M., and Dehghan M. Solution of problems in calculus of variations via He's variational iteration method. Physics Letters A 362 (2007) 401-406
    • (2007) Physics Letters A , vol.362 , pp. 401-406
    • Tatari, M.1    Dehghan, M.2
  • 24
    • 35448960877 scopus 로고    scopus 로고
    • Numerical solution of the Klein-Gordon equation via He's variational iteration method
    • Shakeri F., and Dehghan M. Numerical solution of the Klein-Gordon equation via He's variational iteration method. Nonlinear Dynamics 51 (2008) 89-97
    • (2008) Nonlinear Dynamics , vol.51 , pp. 89-97
    • Shakeri, F.1    Dehghan, M.2
  • 26
    • 0032308350 scopus 로고    scopus 로고
    • Approximate solution of nonlinear differential equations with convolution product non-linearities
    • He J.H. Approximate solution of nonlinear differential equations with convolution product non-linearities. Computer Methods in Applied Mechanics and Engineering 167 (1998) 69-73
    • (1998) Computer Methods in Applied Mechanics and Engineering , vol.167 , pp. 69-73
    • He, J.H.1
  • 27
    • 0032307661 scopus 로고    scopus 로고
    • Approximate analytical solution for seepage flow with fractional derivatives in porous media
    • He J.H. Approximate analytical solution for seepage flow with fractional derivatives in porous media. Computer Methods in Applied Mechanics and Engineering 167 (1998) 57-68
    • (1998) Computer Methods in Applied Mechanics and Engineering , vol.167 , pp. 57-68
    • He, J.H.1
  • 28
    • 70350572254 scopus 로고    scopus 로고
    • Solution of parabolic integro-differential equations arising in heat conduction in materials with memory via He's variational iteration technique
    • in press
    • M. Dehghan, F. Shakeri, Solution of parabolic integro-differential equations arising in heat conduction in materials with memory via He's variational iteration technique, Communications in Numerical Methods in Engineering (2008) (in press)
    • (2008) Communications in Numerical Methods in Engineering
    • Dehghan, M.1    Shakeri, F.2
  • 29
    • 70350575223 scopus 로고    scopus 로고
    • Variational iteration method for solving a generalized pantograph equation
    • Saadatmandi A., and Dehghan M. Variational iteration method for solving a generalized pantograph equation. Computers and Mathematics with Applications 58 11-12 (2009) 2190-2196
    • (2009) Computers and Mathematics with Applications , vol.58 , Issue.11-12 , pp. 2190-2196
    • Saadatmandi, A.1    Dehghan, M.2
  • 30
    • 58149468214 scopus 로고    scopus 로고
    • The use of the decomposition procedure of Adomian for solving a delay differential equation arising in electrodynamics
    • Article No. 065004
    • Dehghan M., and Shakeri F. The use of the decomposition procedure of Adomian for solving a delay differential equation arising in electrodynamics. Physica Scripta 78 (2008) 1-11 Article No. 065004
    • (2008) Physica Scripta , vol.78 , pp. 1-11
    • Dehghan, M.1    Shakeri, F.2
  • 31
    • 70350572810 scopus 로고    scopus 로고
    • Variational iteration method for solving the wave equation subject to an integral conservation condition
    • in press
    • M. Dehghan, A. Saadatmandi, Variational iteration method for solving the wave equation subject to an integral conservation condition, Chaos, Solitons and Fractals (2008) (in press)
    • (2008) Chaos, Solitons and Fractals
    • Dehghan, M.1    Saadatmandi, A.2
  • 32
    • 70350572837 scopus 로고    scopus 로고
    • He's variational iteration method for solving the nonlinear mixed Volterra-Fredholm integral equations
    • Yousefi S.A., Lotfi A., and Dehghan M. He's variational iteration method for solving the nonlinear mixed Volterra-Fredholm integral equations. Computers and Mathematics with Applications 58 11-12 (2009) 2172-2176
    • (2009) Computers and Mathematics with Applications , vol.58 , Issue.11-12 , pp. 2172-2176
    • Yousefi, S.A.1    Lotfi, A.2    Dehghan, M.3
  • 34
    • 32644435892 scopus 로고    scopus 로고
    • Finite difference procedures for solving a problem arising in modeling and design of certain optoelectronic devices
    • Dehghan M. Finite difference procedures for solving a problem arising in modeling and design of certain optoelectronic devices. Mathematics and Computers in Simulation 71 (2006) 16-30
    • (2006) Mathematics and Computers in Simulation , vol.71 , pp. 16-30
    • Dehghan, M.1
  • 35
    • 70350760174 scopus 로고    scopus 로고
    • The numerical solution of the second Painleve equation, Numerical Method for Partial
    • in press
    • M. Dehghan, F. Shakeri, The numerical solution of the second Painleve equation, Numerical Method for Partial Differential Equations, in press
    • Differential Equations
    • Dehghan, M.1    Shakeri, F.2
  • 36
    • 51349122661 scopus 로고    scopus 로고
    • On the numerical solution of nonlinear systems of Volterra integro-differential equations with delay arguments
    • Shakourifar M., and Dehghan M. On the numerical solution of nonlinear systems of Volterra integro-differential equations with delay arguments. Computing 82 (2008) 241-260
    • (2008) Computing , vol.82 , pp. 241-260
    • Shakourifar, M.1    Dehghan, M.2


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