메뉴 건너뛰기




Volumn 14, Issue 2, 2009, Pages 147-158

Application of the variational iteration method for system of nonlinear volterra's integro-differential equations

Author keywords

System of nonlinear volterra's integrodifferential equations; Variational iteration method

Indexed keywords

INTEGRODIFFERENTIAL EQUATIONS; NONLINEAR EQUATIONS; NUMERICAL METHODS;

EID: 70349413580     PISSN: 1300686X     EISSN: None     Source Type: Journal    
DOI: 10.3390/mca14020147     Document Type: Article
Times cited : (28)

References (31)
  • 1
    • 0007140364 scopus 로고    scopus 로고
    • A new approach to nonlinear partial differential equations
    • J. H. He, A new approach to nonlinear partial differential equations, Comm. Nonlinear Sci. Numer. Simul. 2 (4) (1997) 230-235.
    • (1997) Comm. Nonlinear Sci. Numer. Simul. , vol.2 , Issue.4 , pp. 230-235
    • He, J.H.1
  • 2
    • 0039998109 scopus 로고    scopus 로고
    • A variational approach to nonlinear problems and its application
    • J. H. He, A variational approach to nonlinear problems and its application, Mech. Applic. 20 (1) (1998) 30-31.
    • (1998) Mech. Applic. , vol.20 , Issue.1 , pp. 30-31
    • He, J.H.1
  • 3
    • 0006996396 scopus 로고
    • General use of the Lagrange multiplier in nonlinear mathematical physics
    • in: S. Nemat-Nassed, ed., Pergamon Press
    • M. Inokuti et al. General use of the Lagrange multiplier in nonlinear mathematical physics, in: S. Nemat-Nassed, ed., Variational method in the Mechanics of Solids (Pergamon Press, 1978) 156-162.
    • (1978) Variational Method in the Mechanics of Solids , pp. 156-162
    • Inokuti, M.1
  • 4
    • 0040184009 scopus 로고    scopus 로고
    • Variational iteration method for autonomous ordinary differential systems
    • J. H. He, Variational iteration method for autonomous ordinary differential systems, Appl. Math. Comput. 118 (2-3) (2000) 115-123.
    • (2000) Appl. Math. Comput. , vol.118 , Issue.2-3 , pp. 115-123
    • He, J.H.1
  • 5
    • 0041621600 scopus 로고    scopus 로고
    • Variational principle for some nonlinear partial differential equations with variable coefficients
    • J. H. He, Variational principle for some nonlinear partial differential equations with variable coefficients, Chaos, Solitons \& Fractals 19 (2004) 847-851.
    • (2004) Chaos, Solitons & Fractals , vol.19 , pp. 847-851
    • He, J.H.1
  • 6
    • 27144467065 scopus 로고    scopus 로고
    • New applications of variational iteration method
    • M. A. Abdou, A.A. Soliman, New applications of variational iteration method, Physica D 211 (1-2) (2005) 1-8.
    • (2005) Physica D , vol.211 , Issue.1-2 , pp. 1-8
    • Abdou, M.A.1    Soliman, A.A.2
  • 7
    • 19144365030 scopus 로고    scopus 로고
    • Variational iteration method for solving Burger's and coupled Burger's equations
    • M. A. Abdou, A.A. Soliman, Variational iteration method for solving Burger's and coupled Burger's equations, J. Comput. Appl. Math. 181 (2005) 245-251.
    • (2005) J. Comput. Appl. Math. , vol.181 , pp. 245-251
    • Abdou, M.A.1    Soliman, A.A.2
  • 8
    • 24944474278 scopus 로고    scopus 로고
    • Application of He's variational iteration method to helmholtz equation
    • S. Momani, S. Abuasad, Application of He's variational iteration method to Helmholtz equation, Chaos, Solitons \& Fractals 27 (2006) 1119-1123.
    • (2006) Chaos, Solitons & Fractals , vol.27 , pp. 1119-1123
    • Momani, S.1    Abuasad, S.2
  • 9
    • 30344464250 scopus 로고    scopus 로고
    • Application of variational iteration method to nonlinear differential equations of fractional order
    • Z. M. Odibat, S. Momani, Application of variational iteration method to nonlinear differential equations of fractional order, Int. J. Nonlinear Sci. Numer. Simul. 7 (2006) 27-36.
    • (2006) Int. J. Nonlinear Sci. Numer. Simul. , vol.7 , pp. 27-36
    • Odibat, Z.M.1    Momani, S.2
  • 10
    • 33645972898 scopus 로고    scopus 로고
    • Some asymptotic methods for strongly nonlinear equations
    • J. H. He, Some asymptotic methods for strongly nonlinear equations, Int. J. Modern Phys. B 20 (10) (2006) 1141-1199.
    • (2006) Int. J. Modern Phys. , vol.B20 , Issue.10 , pp. 1141-1199
    • He, J.H.1
  • 11
    • 31444453811 scopus 로고    scopus 로고
    • The solution of nonlinear coagulation problem with mass loss
    • E. M. Abulwafa, M.A. Abdou, A.A. Mahmoud, The solution of nonlinear coagulation problem with mass loss, Chaos Solitons \& Fractals 26 (2006) 313-330.
    • (2006) Chaos Solitons & Fractals , vol.26 , pp. 313-330
    • Abulwafa, E.M.1    Abdou, M.A.2    Mahmoud, A.A.3
  • 12
    • 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
    • N. Bildik, A. Konuralp, 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) (2006) 65-70. (Pubitemid 43246582)
    • (2006) International Journal of Nonlinear Sciences and Numerical Simulation , vol.7 , Issue.1 , pp. 65-70
    • Bildik, N.1    Konuralp, A.2
  • 13
    • 34249871141 scopus 로고    scopus 로고
    • A practical thermodynamic method to calculate the best glass-forming composition for bulk metallic glasses
    • H. Wang, H. M. Fu, H. F. Zhang, et al., A practical thermodynamic method to calculate the best glass-forming composition for bulk metallic glasses, Int. J. Nonlinear Sci. Numer. Simul. 8 (2) (2007) 171-178.
    • (2007) Int. J. Nonlinear Sci. Numer. Simul. , vol.8 , Issue.2 , pp. 171-178
    • Wang, H.1    Fu, H.M.2    Zhang, H.F.3
  • 14
    • 34249883339 scopus 로고    scopus 로고
    • Electrospun nanoporous spheres with chinese drug
    • L. Xu, J. H. He, Y. Liu, Electrospun nanoporous spheres with Chinese drug, Int. J. Nonlinear Sci. Numer. Simul. 8 (2) (2007) 199-202.
    • (2007) Int. J. Nonlinear Sci. Numer. Simul. , vol.8 , Issue.2 , pp. 199-202
    • Xu, L.1    He, J.H.2    Liu, Y.3
  • 15
    • 34249915563 scopus 로고    scopus 로고
    • The fractal dimension of the fractal model of dropwise condensation and its experimental study
    • F. Z. Sun, M. Gao, S .H. Lei, et al., The fractal dimension of the fractal model of dropwise condensation and its experimental study, Int. J. Nonlinear Sci. Numer. Simul. 8 (2) (2007) 211-222.
    • (2007) Int. J. Nonlinear Sci. Numer. Simul. , vol.8 , Issue.2 , pp. 211-222
    • Sun, F.Z.1    Gao, M.2    Lei, S.H.3
  • 17
    • 17844395724 scopus 로고    scopus 로고
    • Application of He's homotopy perturbation method to Volterra's integro-differential equation
    • M. El-Shahed, Application of He's homotopy perturbation method to Volterra's integro-differential equation, Int. J. Nonlinear Sci. Numer. Simul. 6 (2) (2005) 163-168.
    • (2005) Int. J. Nonlinear Sci. Numer. Simul. , vol.6 , Issue.2 , pp. 163-168
    • El-Shahed, M.1
  • 18
    • 2442563306 scopus 로고    scopus 로고
    • The decomposition method applied to solve high-order linear Volterra-Fredholm integro-differential equations
    • S. M. El-Sayed, D. Kaya, S. Zarea, The decomposition method applied to solve high-order linear Volterra-Fredholm integro-differential equations, Int. J. Nonlinear Sci. Numer. Simul. 5 (2) (2004) 105-112.
    • (2004) Int. J. Nonlinear Sci. Numer. Simul. , vol.5 , Issue.2 , pp. 105-112
    • El-Sayed, S.M.1    Kaya, D.2    Zarea, S.3
  • 19
    • 34447254290 scopus 로고    scopus 로고
    • Variational iteration method for solving integro-differential equations
    • S. Q. Wang, J. H. He, Variational iteration method for solving integro-differential equations, Phys. Lett. A 367 (2007) 188-191.
    • (2007) Phys. Lett. A , vol.367 , pp. 188-191
    • Wang, S.Q.1    He, J.H.2
  • 20
    • 34248227819 scopus 로고    scopus 로고
    • Application of He's homotopy perturbation method to nonlinear integro-differential equations
    • DOI 10.1016/j.amc.2006.10.016, PII S0096300306013932
    • M. Ghasemi, M. Tavassoli Kajani, E. Babolian, Application of He's homotopy perturbation method to nonlinear integro-differential equations, Appl. Math. Comput. 188 (2007) 538-548. (Pubitemid 46705451)
    • (2007) Applied Mathematics and Computation , vol.188 , Issue.1 , pp. 538-548
    • Ghasemi, M.1    Kajani, M.T.2    Babolian, E.3
  • 21
    • 44149091947 scopus 로고    scopus 로고
    • The variational iteration method: A highly promising method for solving the system of integro-differential equations
    • (Article in press)
    • J, Saberi-Nadjafi, M. Tamamgar, The variational iteration method: A highly promising method for solving the system of integro-differential equations, Comput. Math. Appl., (Article in press).
    • Comput. Math. Appl.
    • Saberi-Nadjafi, J.1    Tamamgar, M.2
  • 22
    • 85126488084 scopus 로고    scopus 로고
    • He's homotopy perturbation method for systems of integro-differential equations
    • (Article in press)
    • J. Biazar, H. Ghazvini, M. Eslami, He's homotopy perturbation method for systems of integro-differential equations, Chaos, Solitons \& Fractals (Article in press).
    • Chaos, Solitons & Fractals
    • Biazar, J.1    Ghazvini, H.2    Eslami, M.3
  • 23
    • 0000092673 scopus 로고    scopus 로고
    • Variational iteration method-a kind of non-linear analytical technique: Some examples Int.
    • J. H. He, Variational iteration method-a kind of non-linear analytical technique: some examples Int. J. Nonlinear Mech. 34 (1999) 699-708.
    • (1999) J. Nonlinear Mech. , vol.34 , pp. 699-708
    • He, J.H.1
  • 24
    • 30344475545 scopus 로고    scopus 로고
    • Construction of solitary solution and compacton-like solution by variational iteration method
    • J. H. He and X. H. Wu, Construction of solitary solution and compacton-like solution by variational iteration method, Chaos, Solitons \& Fractals 29 (2006) 108-113.
    • (2006) Chaos, Solitons & Fractals , vol.29 , pp. 108-113
    • He, J.H.1    Wu, X.H.2
  • 25
    • 36148932234 scopus 로고    scopus 로고
    • The variational iteration method for eighth-order initial-boundary value problems
    • J. H. He, The variational iteration method for eighth-order initial-boundary value problems, Phys. Scr. 76 (2007) 680-682.
    • (2007) Phys. Scr. , vol.76 , pp. 680-682
    • He, J.H.1
  • 26
    • 26044475890 scopus 로고    scopus 로고
    • Solution of systems of integral-differential equations by adomian decomposition method
    • J. Biazar, Solution of systems of integral-differential equations by Adomian decomposition method, Appl. Math. Comput. 168 (2005) 1232-1238.
    • (2005) Appl. Math. Comput. , vol.168 , pp. 1232-1238
    • Biazar, J.1
  • 27
    • 34548459893 scopus 로고    scopus 로고
    • An efficient algorithm for solving integro-differential equations system
    • E. Yusufo\v{g}lu
    • E. Yusufo\v{g}lu, An efficient algorithm for solving integro-differential equations system, Appl. Math. and Comput. 192 (2007) 51-55.
    • (2007) Appl. Math. and Comput. , vol.192 , pp. 51-55
  • 28
    • 35348829740 scopus 로고    scopus 로고
    • Identifying an unknown function in a parabolic equation with overspecified data via He's variational iteration method
    • M. Dehghan, M. Tatari, Identifying an unknown function in a parabolic equation with overspecified data via He's variational iteration method, Chaos, Solitons and Fractals, Volume 36, (2008), 157-166.
    • (2008) Chaos, Solitons and Fractals , vol.36 , pp. 157-166
    • Dehghan, M.1    Tatari, M.2
  • 29
    • 39149109311 scopus 로고    scopus 로고
    • Application of He's variational iteration method for solving the Cauchy reaction-diffusion problem
    • M. Dehghan, F. Shakeri, Application of He's variational iteration method for solving the Cauchy reaction-diffusion problem, Journal of Computational and Applied Mathematics, Volume 214, (2008), 435-446.
    • (2008) Journal of Computational and Applied Mathematics , vol.214 , pp. 435-446
    • Dehghan, M.1    Shakeri, F.2
  • 30
    • 34848823089 scopus 로고    scopus 로고
    • Numerical solution of a biological population model using He's variational iteration method
    • M. Dehghan, F. Shakeri, 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
    • Dehghan, M.1    Shakeri, F.2
  • 31
    • 34548509029 scopus 로고    scopus 로고
    • Approximate solution of a differential equation arising in astrophysics using the variational iteration method
    • M. Dehghan, F. Shakeri, 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


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.