메뉴 건너뛰기




Volumn 41, Issue 3, 2009, Pages 1448-1453

Variational iteration method for solving the wave equation subject to an integral conservation condition

Author keywords

[No Author keywords available]

Indexed keywords

INTEGRAL EQUATIONS; LAGRANGE MULTIPLIERS; WAVE EQUATIONS;

EID: 67349260725     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2008.06.009     Document Type: Article
Times cited : (53)

References (36)
  • 1
    • 10844260305 scopus 로고    scopus 로고
    • Initial-boundary value problem with a nonlocal condition for a viscosity equation
    • Bouziani A. Initial-boundary value problem with a nonlocal condition for a viscosity equation. Int J Math Math Sci 30 6 (2002) 327-338
    • (2002) Int J Math Math Sci , vol.30 , Issue.6 , pp. 327-338
    • Bouziani, A.1
  • 3
    • 0348057899 scopus 로고    scopus 로고
    • Existence of solutions for one-dimensional wave equations with nonlocal conditions
    • Beilin S.A. Existence of solutions for one-dimensional wave equations with nonlocal conditions. Electron J Diff Eqn 76 (2001) 1-8
    • (2001) Electron J Diff Eqn , vol.76 , pp. 1-8
    • Beilin, S.A.1
  • 4
    • 0346166420 scopus 로고    scopus 로고
    • On the constructing of solutions of the nonlocal initial boundary problems for one-dimensional medium oscillation equations
    • Gordeziaini I.S., and Avalishvili G.A. On the constructing of solutions of the nonlocal initial boundary problems for one-dimensional medium oscillation equations. Matem Modelirovanie 12 1 (2000) 94-103
    • (2000) Matem Modelirovanie , vol.12 , Issue.1 , pp. 94-103
    • Gordeziaini, I.S.1    Avalishvili, G.A.2
  • 5
    • 9544252929 scopus 로고    scopus 로고
    • On a class of singular hyperbolic equation with a weighted integral condition
    • Mesloub S., and Bouziani A. On a class of singular hyperbolic equation with a weighted integral condition. Int J Math Math Sci 22 (1999) 511-520
    • (1999) Int J Math Math Sci , vol.22 , pp. 511-520
    • Mesloub, S.1    Bouziani, A.2
  • 6
    • 3342984355 scopus 로고
    • Non-local boundary value problems for hyperbolic equation
    • Muravei L.A., and Philinovskii A.V. Non-local boundary value problems for hyperbolic equation. Matem Zametki 54 (1993) 98-116
    • (1993) Matem Zametki , vol.54 , pp. 98-116
    • Muravei, L.A.1    Philinovskii, A.V.2
  • 7
    • 3543059397 scopus 로고    scopus 로고
    • Strong solution for a mixed problem with nonlocal condition for certain pluriparabolic equations
    • Bouziani A. Strong solution for a mixed problem with nonlocal condition for certain pluriparabolic equations. Hiroshima Math J 27 3 (1997) 373-390
    • (1997) Hiroshima Math J , vol.27 , Issue.3 , pp. 373-390
    • Bouziani, A.1
  • 8
    • 11144275388 scopus 로고    scopus 로고
    • On the solution of an initial-boundary value problem that combines Neumann and integral condition for the wave equation
    • Dehghan M. On the solution of an initial-boundary value problem that combines Neumann and integral condition for the wave equation. Numer Methods Partial Diff Eqn 21 (2005) 24-40
    • (2005) Numer Methods Partial Diff Eqn , vol.21 , pp. 24-40
    • Dehghan, M.1
  • 9
    • 33847786088 scopus 로고    scopus 로고
    • Numerical solution of the one-dimensional wave equation with an integral condition
    • Saadatmandi A., and Dehghan M. Numerical solution of the one-dimensional wave equation with an integral condition. Numer Methods Partial Diff Eq 23 (2007) 282-292
    • (2007) Numer Methods Partial Diff Eq , vol.23 , pp. 282-292
    • Saadatmandi, A.1    Dehghan, M.2
  • 10
    • 33744510547 scopus 로고    scopus 로고
    • A numerical method for the wave equation subject to a non-local conservation condition
    • Ang W.T. A numerical method for the wave equation subject to a non-local conservation condition. Appl Numer Math 56 (2006) 1054-1060
    • (2006) Appl Numer Math , vol.56 , pp. 1054-1060
    • Ang, W.T.1
  • 11
    • 0006990947 scopus 로고    scopus 로고
    • Variational iteration method for delay differential equations
    • He J.H. Variational iteration method for delay differential equations. Commun Nonlinear Sci Numer Simulat 2 (1997) 235-236
    • (1997) Commun Nonlinear Sci Numer Simulat , vol.2 , pp. 235-236
    • He, J.H.1
  • 12
    • 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. Comput Methods Appl Mech Eng 167 (1998) 69-73
    • (1998) Comput Methods Appl Mech Eng , vol.167 , pp. 69-73
    • He, J.H.1
  • 13
    • 0040184009 scopus 로고    scopus 로고
    • Variational iteration method for autonomous ordinary differential systems
    • He J.H. Variational iteration method for autonomous ordinary differential systems. Appl Math Comput 114 (2000) 115-123
    • (2000) Appl Math Comput , vol.114 , pp. 115-123
    • He, J.H.1
  • 14
    • 10244263652 scopus 로고    scopus 로고
    • An iteration formulation for normalized diode characteristics
    • He J.H., YQ W., and Guo Q. An iteration formulation for normalized diode characteristics. Int J Circuit Theo Appl 32 (2004) 629-632
    • (2004) Int J Circuit Theo Appl , vol.32 , pp. 629-632
    • He, J.H.1    YQ, W.2    Guo, Q.3
  • 15
    • 34250668369 scopus 로고    scopus 로고
    • Variational iteration method - some recent results and new interpretation
    • He J.H. Variational iteration method - some recent results and new interpretation. J Comput Appl Math 207 (2007) 3-17
    • (2007) J Comput Appl Math , vol.207 , pp. 3-17
    • He, J.H.1
  • 16
    • 35948976970 scopus 로고    scopus 로고
    • The use of cubic B-spline scaling functions for solving the one-dimensional hyperbolic equation with a nonlocal conservation condition
    • Dehghan M., and Lakestani M. The use of cubic B-spline scaling functions for solving the one-dimensional hyperbolic equation with a nonlocal conservation condition. Numer Methods Partial Diff Eqn 23 (2007) 1277-1289
    • (2007) Numer Methods Partial Diff Eqn , vol.23 , pp. 1277-1289
    • Dehghan, M.1    Lakestani, M.2
  • 17
    • 38049177648 scopus 로고    scopus 로고
    • Combined finite difference and spectral methods for the numerical solution of hyperbolic equation with an integral condition
    • Ramezani M., Dehghan M., and Razzaghi M. Combined finite difference and spectral methods for the numerical solution of hyperbolic equation with an integral condition. Numer Methods Partial Diff Eqn 24 (2008) 1-8
    • (2008) Numer Methods Partial Diff Eqn , vol.24 , pp. 1-8
    • Ramezani, M.1    Dehghan, M.2    Razzaghi, M.3
  • 18
    • 0006996396 scopus 로고
    • General use of the Lagrange multiplier in non-linear mathematical physics
    • Pergamon Press, New York
    • Inokuti M., Sekine H., and Mura T. General use of the Lagrange multiplier in non-linear mathematical physics. Variational methods in the mechanics of solids (1978), Pergamon Press, New York 156-162
    • (1978) Variational methods in the mechanics of solids , pp. 156-162
    • Inokuti, M.1    Sekine, H.2    Mura, T.3
  • 19
    • 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. Choas, Solitons & Fractals 33 (2007) 671-677
    • (2007) Choas, Solitons & Fractals , vol.33 , pp. 671-677
    • Tatari, M.1    Dehghan, M.2
  • 20
    • 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. Phys Scripta 74 (2006) 310-316
    • (2006) Phys Scripta , vol.74 , pp. 310-316
    • Dehghan, M.1    Tatari, M.2
  • 21
    • 19144365030 scopus 로고    scopus 로고
    • Variational iteration method for solving Burger's and coupled Burger's equations
    • Abdou M.A., and Soliman A.A. 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
  • 22
    • 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. Choas, Solitons & Fractals 27 (2006) 1119-1123
    • (2006) Choas, Solitons & Fractals , vol.27 , pp. 1119-1123
    • Momani, S.1    Abuasad, S.2
  • 23
    • 34250650488 scopus 로고    scopus 로고
    • A comparison between the variational iteration method and Adomian decomposition method
    • Wazwaz A.M. A comparison between the variational iteration method and Adomian decomposition method. J Comput Appl Math 207 (2007) 129-136
    • (2007) J Comput Appl Math , vol.207 , pp. 129-136
    • Wazwaz, A.M.1
  • 24
    • 33645972898 scopus 로고    scopus 로고
    • Some asymptotic methods for strongly nonlinear equations
    • He J.H. Some asymptotic methods for strongly nonlinear equations. Int J Modern Phys B 20 10 (2006) 1141-1199
    • (2006) Int J Modern Phys B , vol.20 , Issue.10 , pp. 1141-1199
    • He, J.H.1
  • 25
    • 33748922411 scopus 로고    scopus 로고
    • Non-perturbative methods for strongly nonlinear problems
    • dissertation. Berlin: de-Verlag im Internet GmbH;
    • He JH, Non-perturbative methods for strongly nonlinear problems, dissertation. Berlin: de-Verlag im Internet GmbH; 2006.
    • (2006)
    • He, J.H.1
  • 26
    • 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. Phys Lett A 362 (2007) 401-406
    • (2007) Phys Lett A , vol.362 , pp. 401-406
    • Tatari, M.1    Dehghan, M.2
  • 27
    • 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 & Fractals 36 (2008) 157-166
    • (2008) Chaos, Solitons & Fractals , vol.36 , pp. 157-166
    • Dehghan, M.1    Tatari, M.2
  • 28
    • 34848823089 scopus 로고    scopus 로고
    • Numerical solution of a biological population model using He's variational iteration method
    • Dehghan M., and Shakeri F. Numerical solution of a biological population model using He's variational iteration method. Comput Math Appl 54 (2007) 1197-1209
    • (2007) Comput Math Appl , vol.54 , pp. 1197-1209
    • Dehghan, M.1    Shakeri, F.2
  • 29
    • 39149109311 scopus 로고    scopus 로고
    • Application of He's variational iteration method for solving the Cauchy reaction-diffusion problem
    • Dehghan M., and Shakeri F. Application of He's variational iteration method for solving the Cauchy reaction-diffusion problem. J Comput Appl Math 214 (2008) 435-446
    • (2008) J Comput Appl Math , vol.214 , pp. 435-446
    • Dehghan, M.1    Shakeri, F.2
  • 30
    • 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 Dynam 51 (2008) 89-97
    • (2008) Nonlinear Dynam , vol.51 , pp. 89-97
    • Shakeri, F.1    Dehghan, M.2
  • 31
    • 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 Astron 13 (2008) 53-59
    • (2008) New Astron , vol.13 , pp. 53-59
    • Dehghan, M.1    Shakeri, F.2
  • 32
    • 47949123722 scopus 로고    scopus 로고
    • Solution of a model describing biological species living together using the variational iteration method
    • in press
    • Shakeri F, Dehghan M. Solution of a model describing biological species living together using the variational iteration method. Math Comput Model, in press.
    • Math Comput Model
    • Shakeri, F.1    Dehghan, M.2
  • 33
    • 34250696383 scopus 로고    scopus 로고
    • On the convergence of He's variational iteration method
    • Tatari M., and Dehghan M. On the convergence of He's variational iteration method. J Comput Appl Math 207 (2007) 121-128
    • (2007) J Comput Appl Math , vol.207 , pp. 121-128
    • Tatari, M.1    Dehghan, M.2
  • 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. Math Comput Simulat 71 (2006) 16-30
    • (2006) Math Comput Simulat , vol.71 , pp. 16-30
    • Dehghan, M.1
  • 35
    • 33748938323 scopus 로고    scopus 로고
    • Implicit collocation technique for heat equation with non-classic initial condition
    • Dehghan M. Implicit collocation technique for heat equation with non-classic initial condition. Int J Non-Linear Sci Numer Simulat 7 (2006) 447-450
    • (2006) Int J Non-Linear Sci Numer Simulat , vol.7 , pp. 447-450
    • Dehghan, M.1
  • 36
    • 33749559910 scopus 로고    scopus 로고
    • The one-dimensional heat equation subject to a boundary integral specification
    • Dehghan M. The one-dimensional heat equation subject to a boundary integral specification. Chaos, Solitons & Fractals 32 (2007) 661-675
    • (2007) Chaos, Solitons & Fractals , vol.32 , pp. 661-675
    • Dehghan, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.