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Volumn 87, Issue 5, 2010, Pages 997-1008

Computation of two time-dependent coefficients in a parabolic partial differential equation subject to additional specifications

Author keywords

Inverse problem; Operational matrix; Parabolic partial differential equations; Simultaneous parameter determination; Tau method

Indexed keywords

OPERATIONAL MATRICES; PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS; PARAMETER DETERMINATION; SHIFTED LEGENDRE POLYNOMIALS; SIMULTANEOUS DETERMINATIONS; TAU METHOD; TIME-DEPENDENT COEFFICIENTS; TIME-DEPENDENT PARTIAL DIFFERENTIAL EQUATIONS;

EID: 77952555919     PISSN: 00207160     EISSN: 10290265     Source Type: Journal    
DOI: 10.1080/00207160802253958     Document Type: Article
Times cited : (24)

References (27)
  • 1
    • 0040679523 scopus 로고
    • The algebraic kernel method for the numerical solution of partial differential equations
    • M.H.A. Abadi and E.L. Ortiz, The algebraic kernel method for the numerical solution of partial differential equations, J. Numer. Funct. Anal. Optim. 12 (1991), pp. 339-360.
    • (1991) J. Numer. Funct. Anal. Optim , vol.12 , pp. 339-360
    • Abadi, M.H.A.1    Ortiz, E.L.2
  • 2
    • 12244269090 scopus 로고    scopus 로고
    • Numerical procedure for determining of an unknown parameter in parabolic equation
    • E.C. Baran, Numerical procedure for determining of an unknown parameter in parabolic equation, Appl. Math. Comput. 162 (2005), pp. 1219-1226.
    • (2005) Appl. Math. Comput , vol.162 , pp. 1219-1226
    • Baran, E.C.1
  • 3
    • 84985357023 scopus 로고
    • Numerical solution of some parabolic inverse problems
    • J.R. Cannon and H.M. Yin, Numerical solution of some parabolic inverse problems, Numer. Meth. Part. Differen. Equat. 2 (1990), pp. 177-191.
    • (1990) Numer. Meth. Part. Differen. Equat , vol.2 , pp. 177-191
    • Cannon, J.R.1    Yin, H.M.2
  • 4
    • 51249161311 scopus 로고
    • Determination of source parameter in parabolic equations
    • J.R. Cannon,Y. Lin, and S. Wang, Determination of source parameter in parabolic equations, Meccanica 27 (1992), pp. 85-94.
    • (1992) Meccanica , vol.27 , pp. 85-94
    • Cannon, J.R.1    Lin, Y.2    Wang, S.3
  • 5
    • 0000293752 scopus 로고
    • Numerical procedure for the determination of an unknown coefficient in semilinear parabolic equations
    • J.R. Cannon,Y. Lin, and S. Xu, Numerical procedure for the determination of an unknown coefficient in semilinear parabolic equations, Inv. Probl. 10 (1994), pp. 227-243.
    • (1994) Inv. Probl , vol.10 , pp. 227-243
    • Cannon, J.R.1    Lin, Y.2    Xu, S.3
  • 7
    • 0035450576 scopus 로고    scopus 로고
    • An inverse problem of finding a source parameter in a semilinear parabolic equation
    • M. Dehghan, An inverse problem of finding a source parameter in a semilinear parabolic equation, Appl. Math. Model. 25 (2001), pp. 743-754.
    • (2001) Appl. Math. Model , vol.25 , pp. 743-754
    • Dehghan, M.1
  • 8
    • 0035370485 scopus 로고    scopus 로고
    • Determination of a control parameter in the two-dimensional diffusion equation
    • -, Determination of a control parameter in the two-dimensional diffusion equation, Appl. Numer. Math. 37 (2001), pp. 489-502.
    • (2001) Appl. Numer. Math , vol.37 , pp. 489-502
  • 9
    • 0036467361 scopus 로고    scopus 로고
    • Fourth-order techniques for identifying a control parameter in the parabolic equations
    • -, Fourth-order techniques for identifying a control parameter in the parabolic equations, Int. J. Eng. Sci. 40 (2002), pp. 433-447.
    • (2002) Int. J. Eng. Sci , vol.40 , pp. 433-447
  • 10
    • 0037443331 scopus 로고    scopus 로고
    • Numerical solution of one-dimensional parabolic inverse problem
    • -, Numerical solution of one-dimensional parabolic inverse problem, Appl. Math. Comput. 136 (2003), pp. 333-344.
    • (2003) Appl. Math. Comput , vol.136 , pp. 333-344
  • 11
    • 0036445956 scopus 로고    scopus 로고
    • Determination of a control function in three-dimensional parabolic equations
    • -, Determination of a control function in three-dimensional parabolic equations, Math. Comput. Simul. 61(2) (2003), pp. 89-100.
    • (2003) Math. Comput. Simul. , vol.61 , Issue.2 , pp. 89-100
  • 12
    • 19744375661 scopus 로고    scopus 로고
    • Parameter determination in a partial differential equation from the overspecified data
    • -, Parameter determination in a partial differential equation from the overspecified data, Math. Comput. Model. 41(2-3) (2005), pp. 196-213.
    • (2005) Math. Comput. Model , vol.41 , Issue.2-3 , pp. 196-213
  • 13
    • 32644435892 scopus 로고    scopus 로고
    • Finite difference procedures for solving a problem arising in modeling and design of certain optoelectronic devices
    • -, Finite difference procedures for solving a problem arising in modeling and design of certain optoelectronic devices, Math. Comput. Simul. 71 (2006), pp. 16-30.
    • (2006) Math. Comput. Simul , vol.71 , pp. 16-30
  • 14
    • 33645276878 scopus 로고    scopus 로고
    • A computational study of the one-dimensional parabolic equation subject to nonclassical boundary specifications
    • -, A computational study of the one-dimensional parabolic equation subject to nonclassical boundary specifications, Numer. Meth. Part. Differen. Equat. 22 (2006), pp. 220-257.
    • (2006) Numer. Meth. Part. Differen. Equat , vol.22 , pp. 220-257
  • 15
    • 33749559910 scopus 로고    scopus 로고
    • The one-dimensional heat equations subject to a boundary integral specifications
    • -, The one-dimensional heat equations subject to a boundary integral specifications, Chaos, Solitons and Fractals 32 (2007), pp. 661-675.
    • (2007) Chaos, Solitons and Fractals , vol.32 , pp. 661-675
  • 17
    • 12244254476 scopus 로고    scopus 로고
    • Numerical procedure for the simultaneous determination of unknown coefficients in a parabolic equation
    • A.G. Fatullayev, Numerical procedure for the simultaneous determination of unknown coefficients in a parabolic equation, Appl. Math. Comput. 162 (2005), pp. 1367-1375.
    • (2005) Appl. Math. Comput , vol.162 , pp. 1367-1375
    • Fatullayev, A.G.1
  • 19
    • 0034237633 scopus 로고    scopus 로고
    • Tau approximation method of the Hubbell rectangular source integral
    • S.L. Kalla and H.G. Khajah, Tau approximation method of the Hubbell rectangular source integral, Radiat. Phys. Chem. 59(1) (2000), pp. 17-21.
    • (2000) Radiat. Phys. Chem. , vol.59 , Issue.1 , pp. 17-21
    • Kalla, S.L.1    Khajah, H.G.2
  • 20
    • 85162699057 scopus 로고
    • Trigonometric interpolation of empirical and analytic functions
    • C. Lanczos, Trigonometric interpolation of empirical and analytic functions, J. Math. Phys. 17 (1938), pp. 123-199.
    • (1938) J. Math. Phys , vol.17 , pp. 123-199
    • Lanczos, C.1
  • 21
    • 0003398168 scopus 로고
    • Pitman, London
    • -, Applied Analysis, Pitman, London, 1957.
    • (1957) Applied Analysis
  • 24
    • 0021177673 scopus 로고
    • Numerical solution of partial differential equations with variable coefficients with an operational approach to the tau method
    • E.L. Ortiz and H. Samara, Numerical solution of partial differential equations with variable coefficients with an operational approach to the tau method, Comput. Math. Appl. 10(4) (1984), pp. 5-13.
    • (1984) Comput. Math. Appl. , vol.10 , Issue.4 , pp. 5-13
    • Ortiz, E.L.1    Samara, H.2
  • 25
    • 0037082721 scopus 로고    scopus 로고
    • Tau method approximation for radiative transfer problems in a slab medium
    • M. Razzaghi, S. Oppenheimer, and F. Ahmad, Tau method approximation for radiative transfer problems in a slab medium, J. Quant. Spectrosc. Radiat. Transf. 72(4) (2002), pp. 439-447.
    • (2002) J. Quant. Spectrosc. Radiat. Transf. , vol.72 , Issue.4 , pp. 439-447
    • Razzaghi, M.1    Oppenheimer, S.2    Ahmad, F.3
  • 26
    • 28244459412 scopus 로고    scopus 로고
    • A tau method approximation for the diffusion equation with nonlocal boundary conditions
    • A. Saadatmandi and M. Razzaghi, A tau method approximation for the diffusion equation with nonlocal boundary conditions, Int. J. Comput. Math. 81 (2004), pp. 1427-1432.
    • (2004) Int. J. Comput. Math , vol.81 , pp. 1427-1432
    • Saadatmandi, A.1    Razzaghi, M.2
  • 27
    • 35448960877 scopus 로고    scopus 로고
    • Numerical solution of the klein-gordon equation via He's variational iteration method
    • F. Shakeri and M. Dehghan, Numerical solution of the Klein-Gordon equation via He's variational iteration method, Numer. Meth. Part. Differen. Equat. 51 (2008), pp. 89-97.
    • (2008) Numer. Meth. Part. Differen. Equat , vol.51 , pp. 89-97
    • Shakeri, F.1    Dehghan, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.