메뉴 건너뛰기




Volumn 36, Issue 1, 2008, Pages 157-166

Identifying an unknown function in a parabolic equation with overspecified data via He's variational iteration method

Author keywords

[No Author keywords available]

Indexed keywords

LAGRANGE MULTIPLIERS; PARTIAL DIFFERENTIAL EQUATIONS; PROBLEM SOLVING; THREE DIMENSIONAL;

EID: 35348829740     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2006.06.023     Document Type: Article
Times cited : (75)

References (35)
  • 1
    • 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
  • 2
    • 27144467065 scopus 로고    scopus 로고
    • New applications of variational iteration method
    • Abdou M.A., and Soliman A.A. New applications of variational iteration method. Physica D 211 (2005) 1-8
    • (2005) Physica D , vol.211 , pp. 1-8
    • Abdou, M.A.1    Soliman, A.A.2
  • 3
    • 85126461767 scopus 로고    scopus 로고
    • Abulwafa EM, Abdou MA, Mahmoud AA. Nonlinear fluid flows in pipe-like domain problem using variational iteration method. Chaos, Solitons & Fractals, in press, doi:10.1016/j.chaos.2005.11.050.
  • 4
    • 31444453811 scopus 로고    scopus 로고
    • The solution of nonlinear coagulation problem with mass loss, using variational iteration method
    • Abulwafa E.M., Abdou M.A., and Mahmoud A.A. The solution of nonlinear coagulation problem with mass loss, using variational iteration method. Chaos, Solitons & Fractals 29 (2006) 313-330
    • (2006) Chaos, Solitons & Fractals , vol.29 , pp. 313-330
    • Abulwafa, E.M.1    Abdou, M.A.2    Mahmoud, A.A.3
  • 5
    • 51249161311 scopus 로고
    • Determination of source parameter in parabolic equations
    • Cannon J.R., Lin Y., and Wang S. Determination of source parameter in parabolic equations. Meccanica 27 (1992) 85-94
    • (1992) Meccanica , vol.27 , pp. 85-94
    • Cannon, J.R.1    Lin, Y.2    Wang, S.3
  • 6
    • 0002179056 scopus 로고
    • Determination of parameter p(t) in Holder classes for some semilinear parabolic equations
    • Cannon J.R., and Lin Y. Determination of parameter p(t) in Holder classes for some semilinear parabolic equations. Inverse Probl 4 (1988) 595-606
    • (1988) Inverse Probl , vol.4 , pp. 595-606
    • Cannon, J.R.1    Lin, Y.2
  • 7
    • 0036467361 scopus 로고    scopus 로고
    • Fourth-order techniques for identifying a control parameter in the parabolic equations
    • Dehghan M. Fourth-order techniques for identifying a control parameter in the parabolic equations. Int J Eng Sci 40 (2002) 433-447
    • (2002) Int J Eng Sci , vol.40 , pp. 433-447
    • Dehghan, M.1
  • 8
    • 0036445956 scopus 로고    scopus 로고
    • Determination of a control function in three-dimensional parabolic equations
    • Dehghan M. Determination of a control function in three-dimensional parabolic equations. Math Comput Simul 61 (2003) 89-100
    • (2003) Math Comput Simul , vol.61 , pp. 89-100
    • Dehghan, M.1
  • 9
    • 24944574717 scopus 로고    scopus 로고
    • The solution of a nonclassic problem for one-dimensional hyperbolic equation using the decomposition procedure
    • Dehghan M. The solution of a nonclassic problem for one-dimensional hyperbolic equation using the decomposition procedure. Int J Comput Math 81 8 (2004) 979-989
    • (2004) Int J Comput Math , vol.81 , Issue.8 , pp. 979-989
    • Dehghan, M.1
  • 10
    • 19744375661 scopus 로고    scopus 로고
    • Parameter determination in a partial differential equation from the overspecified data
    • Dehghan M. Parameter determination in a partial differential equation from the overspecified data. Math Comput Model 41 2-3 (2005) 196-213
    • (2005) Math Comput Model , vol.41 , Issue.2-3 , pp. 196-213
    • Dehghan, M.1
  • 11
    • 35348853856 scopus 로고    scopus 로고
    • Dehghan M., Tatari M. The use of the He's variational iteration method for solving the Fokker-Planck equation. Phys Scr, in press.
  • 12
    • 0000355020 scopus 로고
    • Extension of a property of the heat equation to linear thermoelasticity and other theories
    • Day W.A. Extension of a property of the heat equation to linear thermoelasticity and other theories. Quart J Appl Math 40 (1982) 319-330
    • (1982) Quart J Appl Math , vol.40 , pp. 319-330
    • Day, W.A.1
  • 13
    • 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 Simul 2 (1997) 235-236
    • (1997) Commun Nonlinear Sci Numer Simul , vol.2 , pp. 235-236
    • He, J.H.1
  • 14
    • 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 Meth Appl Mech Eng 167 (1998) 69-73
    • (1998) Comput Meth Appl Mech Eng , vol.167 , pp. 69-73
    • He, J.H.1
  • 15
    • 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. Int J Nonlinear Mech 34 (1999) 699-708
    • (1999) Int J Nonlinear Mech , vol.34 , pp. 699-708
    • He, J.H.1
  • 16
    • 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 10 (2006) 1141-1199
    • (2006) Int J Mod Phys B , vol.20 , Issue.10 , pp. 1141-1199
    • He, J.H.1
  • 17
    • 0037431567 scopus 로고    scopus 로고
    • A simple perturbation approach to Blasius equation
    • He J.H. A simple perturbation approach to Blasius equation. Appl Math Comput 140 2-3 (2003) 217-222
    • (2003) Appl Math Comput , vol.140 , Issue.2-3 , pp. 217-222
    • He, J.H.1
  • 18
    • 30344475545 scopus 로고    scopus 로고
    • Construction of solitary solution and compaction-like solution by variational iteration method
    • He J.H., and Wu X.H. Construction of solitary solution and compaction-like solution by variational iteration method. Chaos, Solitons & Fractals 29 1 (2006) 108-113
    • (2006) Chaos, Solitons & Fractals , vol.29 , Issue.1 , pp. 108-113
    • He, J.H.1    Wu, X.H.2
  • 19
    • 0003053849 scopus 로고    scopus 로고
    • Some new approaches to Duffing equation with strongly and high order nonlinearity, I linearized perturbation technique
    • (II) parametrization technique, 1999. p. 81-3
    • He J.H. Some new approaches to Duffing equation with strongly and high order nonlinearity, I linearized perturbation technique. Commun Nonlinear Sci Numer Simul 4 1 (1999) 78-80 (II) parametrization technique, 1999. p. 81-3
    • (1999) Commun Nonlinear Sci Numer Simul , vol.4 , Issue.1 , pp. 78-80
    • He, J.H.1
  • 20
    • 33644968060 scopus 로고    scopus 로고
    • Variational theory for one-dimensional longitudinal beam dynamics
    • He J.H. Variational theory for one-dimensional longitudinal beam dynamics. Phys Lett A 352 4-5 (2006) 276-277
    • (2006) Phys Lett A , vol.352 , Issue.4-5 , pp. 276-277
    • He, J.H.1
  • 21
    • 0037844992 scopus 로고    scopus 로고
    • Variational approach to the Thomas-Fermi equation
    • He J.H. Variational approach to the Thomas-Fermi equation. Appl Math Comput 143 2-3 (2003) 533-535
    • (2003) Appl Math Comput , vol.143 , Issue.2-3 , pp. 533-535
    • He, J.H.1
  • 22
    • 0038182679 scopus 로고    scopus 로고
    • Variational approach to the Lane-Enden equation
    • He J.H. Variational approach to the Lane-Enden equation. Appl Math Comput 143 2-3 (2003) 539-541
    • (2003) Appl Math Comput , vol.143 , Issue.2-3 , pp. 539-541
    • He, J.H.1
  • 23
    • 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
  • 24
    • 0141525039 scopus 로고    scopus 로고
    • A new approach to Bratu's problem
    • Khuri S.A. A new approach to Bratu's problem. Appl Math Comput 147 1 (2004) 131-136
    • (2004) Appl Math Comput , vol.147 , Issue.1 , pp. 131-136
    • Khuri, S.A.1
  • 25
    • 11144353442 scopus 로고    scopus 로고
    • An application for the higher order modified KdV equation by decomposition method
    • Kaya D. An application for the higher order modified KdV equation by decomposition method. Commun Nonlinear Sci Numer Simul 10 6 (2005) 693-702
    • (2005) Commun Nonlinear Sci Numer Simul , vol.10 , Issue.6 , pp. 693-702
    • Kaya, D.1
  • 26
    • 0023570522 scopus 로고
    • Inversion theory for a parametrized diffusion problem
    • Macbain J.A. Inversion theory for a parametrized diffusion problem. SIAM J Appl Math 18 (1987) 1386-1391
    • (1987) SIAM J Appl Math , vol.18 , pp. 1386-1391
    • Macbain, J.A.1
  • 27
    • 85126436568 scopus 로고    scopus 로고
    • Moghimi M, Hejazi FSA. Variational iteration methods for solving generalized Burgers-Fisher and Burgers equations. Chaos, Solitons & Fractals, in press, doi:10.1016/j.chaos.2006.03.031.
  • 28
    • 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 & Fractals 27 (2006) 1119-1123
    • (2006) Chaos, Solitons & Fractals , vol.27 , pp. 1119-1123
    • Momani, S.1    Abuasad, S.2
  • 29
    • 18744412104 scopus 로고    scopus 로고
    • Identification of a time-dependent coefficient in a partial differential equation subject to an extra measurement
    • Dehghan M. Identification of a time-dependent coefficient in a partial differential equation subject to an extra measurement. Numer Meth Part Diff Equat 21 3 (2005) 611-622
    • (2005) Numer Meth Part Diff Equat , vol.21 , Issue.3 , pp. 611-622
    • Dehghan, M.1
  • 30
    • 0000566436 scopus 로고
    • Determination of the evolution parameter of an equation and inverse problems of mathematical physics, I
    • and part I, 21, 1985. p. 119-29
    • Prilepko A.I., and Orlovskii D.G. Determination of the evolution parameter of an equation and inverse problems of mathematical physics, I. Differen Equat 21 (1985) 119-129 and part I, 21, 1985. p. 119-29
    • (1985) Differen Equat , vol.21 , pp. 119-129
    • Prilepko, A.I.1    Orlovskii, D.G.2
  • 31
    • 31444443560 scopus 로고    scopus 로고
    • A numerical simulation and explicit solutions of KdV-Burgers and Lax seventh-order KdV equations
    • Soliman A.A. A numerical simulation and explicit solutions of KdV-Burgers and Lax seventh-order KdV equations. Chaos, Solitons & Fractals 29 2 (2006) 294-302
    • (2006) Chaos, Solitons & Fractals , vol.29 , Issue.2 , pp. 294-302
    • Soliman, A.A.1
  • 32
    • 85126447385 scopus 로고    scopus 로고
    • Sweilam NH, Khader MM. Variational iteration method for one-dimensional nonlinear thermoelasticity. Chaos, Solitons & Fractals, in press, doi:10.1016/j.chaos.2005.11.028.
  • 33
    • 0035450576 scopus 로고    scopus 로고
    • An inverse problem of finding a source parameter in a semilinear parabolic equation
    • Dehghan M. An inverse problem of finding a source parameter in a semilinear parabolic equation. Appl Math Model 25 9 (2001) 743-754
    • (2001) Appl Math Model , vol.25 , Issue.9 , pp. 743-754
    • Dehghan, M.1
  • 34
    • 0037443331 scopus 로고    scopus 로고
    • Numerical solution of one-dimensional parabolic inverse problem
    • Dehghan M. Numerical solution of one-dimensional parabolic inverse problem. Appl Math Comput 136 2-3 (2003) 333-344
    • (2003) Appl Math Comput , vol.136 , Issue.2-3 , pp. 333-344
    • Dehghan, M.1
  • 35
    • 19744375661 scopus 로고    scopus 로고
    • Parameter determination in a partial differential equation from the overspecified data
    • Dehghan M. Parameter determination in a partial differential equation from the overspecified data. Math. Comp. Model. 41 2-3 (2005) 196-213
    • (2005) Math. Comp. Model. , vol.41 , Issue.2-3 , pp. 196-213
    • Dehghan, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.