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Volumn 75, Issue 3, 2000, Pages 339-349

Finite difference schemes for two-dimensional parabolic inverse problem with temperature overspecification

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; CONVERGENCE OF NUMERICAL METHODS; ERROR ANALYSIS; HEAT TRANSFER; INVERSE PROBLEMS; MATHEMATICAL MODELS; PARAMETER ESTIMATION; PARTIAL DIFFERENTIAL EQUATIONS; TEMPERATURE DISTRIBUTION;

EID: 0034508918     PISSN: 00207160     EISSN: None     Source Type: Journal    
DOI: 10.1080/00207160008804989     Document Type: Article
Times cited : (14)

References (15)
  • 1
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    • Wang, S.1    Lin, Y.2
  • 2
    • 51249161311 scopus 로고
    • Determination of source parameter in parabolic equations
    • Cannon, J. R., Lin, Y. and Wang, S. (1992). Determination of source parameter in parabolic equations, Meccanica, 27, 85-94.
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    • Cannon, J.R.1    Lin, Y.2    Wang, S.3
  • 3
    • 45349112919 scopus 로고
    • On a class of non-classical parabolic problems
    • Cannon, J. R. and Yin, H. (1989). On a class of non-classical parabolic problems, J. Differential Equations, 79(2), 266-288.
    • (1989) J. Differential Equations , vol.79 , Issue.2 , pp. 266-288
    • Cannon, J.R.1    Yin, H.2
  • 4
    • 0000009156 scopus 로고
    • An inverse problem of finding a parameter in a semi-linear heat equation
    • Cannon, J. R. and Lin, Y. (1990). An inverse problem of finding a parameter in a semi-linear heat equation, J. Math. Anal. Appl., 145(2), 470-484.
    • (1990) J. Math. Anal. Appl. , vol.145 , Issue.2 , pp. 470-484
    • Cannon, J.R.1    Lin, Y.2
  • 5
    • 0000566436 scopus 로고
    • Determination of the evolution parameter of an equation and inverse problems of mathematical physics, I and II
    • Prilepko, A. I. and Orlovskii, D. G. (1985). Determination of the evolution parameter of an equation and inverse problems of mathematical physics, I and II, J. Differential Equations, 21(1), 119-129.
    • (1985) J. Differential Equations , vol.21 , Issue.1 , pp. 119-129
    • Prilepko, A.I.1    Orlovskii, D.G.2
  • 6
    • 0001375504 scopus 로고
    • Solvability of the inverse boundary value problem of finding a coefficient of a lower order term in a parabolic equation
    • Prilepko, A. I. and Soloev, V. V. (1987). Solvability of the inverse boundary value problem of finding a coefficient of a lower order term in a parabolic equation, J. Differential Equations, 23(1), 136-143.
    • (1987) J. Differential Equations , vol.23 , Issue.1 , pp. 136-143
    • Prilepko, A.I.1    Soloev, V.V.2
  • 7
    • 0027069329 scopus 로고
    • Numerical solutions of two inverse problems for identifying control parameters in 2-dimensional parabolic partial differential equations
    • Wang, S. (1992). Numerical solutions of two inverse problems for identifying control parameters in 2-dimensional parabolic partial differential equations, Modern Developement in Numerical Simulation of Flow and Heat Transfer, 194, 11-16.
    • (1992) Modern Developement in Numerical Simulation of Flow and Heat Transfer , vol.194 , pp. 11-16
    • Wang, S.1
  • 8
    • 45349112919 scopus 로고
    • On a class of non-classical parabolic problems
    • Cannon, J. R. and Yin, H. (1989). On a class of non-classical parabolic problems, J. Differential Equations, 79(2), 266-288.
    • (1989) J. Differential Equations , vol.79 , Issue.2 , pp. 266-288
    • Cannon, J.R.1    Yin, H.2
  • 10
    • 49549156305 scopus 로고
    • The modified equation approach to the stability and accuracy analysis of finite-difference methods
    • Warming, R. F. and Hyett, B. J. (1974). The modified equation approach to the stability and accuracy analysis of finite-difference methods, Journal of Computational Physics, 14(2), 159-179.
    • (1974) Journal of Computational Physics , vol.14 , Issue.2 , pp. 159-179
    • Warming, R.F.1    Hyett, B.J.2
  • 12
    • 0027069888 scopus 로고
    • Explicit two-level finite difference methods for the two-dimensional diffusion equation
    • Noye, B. J. (1992). Explicit two-level finite difference methods for the two-dimensional diffusion equation, Intern. J. Computer Math., 42, 223-236.
    • (1992) Intern. J. Computer Math. , vol.42 , pp. 223-236
    • Noye, B.J.1
  • 13
    • 0001683045 scopus 로고
    • The reformulation and numerical solution of certain nonclassical initial-boundary value problems
    • Fairweather, G. and Saylor, R. D. (1991). The reformulation and numerical solution of certain nonclassical initial-boundary value problems, SIAM. J. Sci. Stat. Comput., 12(1), 127-144.
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  • 15
    • 0000210676 scopus 로고    scopus 로고
    • Implicit locally one-dimensional methods for two-dimensional diffusion with a non-local boundary condition
    • Dehghan, M. (1999). Implicit locally one-dimensional methods for two-dimensional diffusion with a non-local boundary condition, Mathematics and Computers in Simulation, 49, 331-349.
    • (1999) Mathematics and Computers in Simulation , vol.49 , pp. 331-349
    • Dehghan, M.1


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