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Volumn 49, Issue 5-6, 2005, Pages 777-788

Two regularization methods and the order optimal error estimates for a sideways parabolic equation

Author keywords

Error estimate; Ill posed problem; Inverse heat conduction; Regularization method; Sideways parabolic equation

Indexed keywords

APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; HEAT CONDUCTION; MATHEMATICAL MODELS; MEASUREMENT THEORY; NONLINEAR EQUATIONS; PROBLEM SOLVING;

EID: 18444365299     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2004.08.012     Document Type: Article
Times cited : (10)

References (19)
  • 2
    • 0020142847 scopus 로고
    • Determining surface temperatures from interior observations
    • A. Carasso Determining surface temperatures from interior observations SIAM J. Appl. Math. 42 1982 558 574
    • (1982) SIAM J. Appl. Math. , vol.42 , pp. 558-574
    • Carasso, A.1
  • 3
    • 49849108428 scopus 로고
    • Nonlinear estimation applied to the nonlinear inverse heat conduction problem
    • J.V. Beck Nonlinear estimation applied to the nonlinear inverse heat conduction problem Int. J. Heat. Mass. Transfer 13 1970 703 716
    • (1970) Int. J. Heat. Mass. Transfer , vol.13 , pp. 703-716
    • Beck, J.V.1
  • 4
    • 0348163861 scopus 로고    scopus 로고
    • Wavelet regularization for an inverse heat conduction problem
    • C.L. Fu, Y.B. Zhu, and C.Y. Qiu Wavelet regularization for an inverse heat conduction problem J. Math. Anal. Appl. 288 1 2003 212 222
    • (2003) J. Math. Anal. Appl. , vol.288 , Issue.1 , pp. 212-222
    • Fu, C.L.1    Zhu, Y.B.2    Qiu, C.Y.3
  • 5
    • 4344618330 scopus 로고    scopus 로고
    • Central difference schemes in time and error estimate on a nonstandard inverse heat conduction problem
    • X.T. Xiong, C.L. Fu, and H.F. Li Central difference schemes in time and error estimate on a nonstandard inverse heat conduction problem Appl. Math. Comput. 157 2004 77 91
    • (2004) Appl. Math. Comput. , vol.157 , pp. 77-91
    • Xiong, X.T.1    Fu, C.L.2    Li, H.F.3
  • 6
    • 4344711153 scopus 로고    scopus 로고
    • Wavelet regularization for an ill-posed problem of parabolic equation
    • C.Y. Qiu, and C.L. Fu Wavelet regularization for an ill-posed problem of parabolic equation Acta Mathematica Scientia 22A 3 2002 361 372
    • (2002) Acta Mathematica Scientia , vol.22 , Issue.3 , pp. 361-372
    • Qiu, C.Y.1    Fu, C.L.2
  • 7
    • 0003339688 scopus 로고
    • An optimal filtering method for the sideways heat equation
    • T. Seidman, and L. Eldén An optimal filtering method for the sideways heat equation Inverse Problems 6 1990 681 696
    • (1990) Inverse Problems , vol.6 , pp. 681-696
    • Seidman, T.1    Eldén, L.2
  • 8
    • 0000713516 scopus 로고
    • Numerical solution of the sideways heat equation by difference approximation in time
    • L. Eldén Numerical solution of the sideways heat equation by difference approximation in time Inverse Problems 11 1995 913 923
    • (1995) Inverse Problems , vol.11 , pp. 913-923
    • Eldén, L.1
  • 9
    • 0031209056 scopus 로고    scopus 로고
    • Solving an inverse heat conduction problem by "a method of lines"
    • L. Eldén Solving an inverse heat conduction problem by "a method of lines" J. Heat. Transfer, Trans. ASME 119 1997 406 412
    • (1997) J. Heat. Transfer, Trans. ASME , vol.119 , pp. 406-412
    • Eldén, L.1
  • 10
    • 0029426191 scopus 로고
    • Sideways heat equation and wavelets
    • T. Regińska Sideways heat equation and wavelets J. Comput. Appl. Math. 63 1995 209 214
    • (1995) J. Comput. Appl. Math. , vol.63 , pp. 209-214
    • Regińska, T.1
  • 11
    • 0036532252 scopus 로고    scopus 로고
    • A note on "sideways heat equation and wavelets" and constant e* (*)
    • C.L. Fu, C.Y. Qiu, and Y.B. Zhu A note on "Sideways heat equation and wavelets" and constant e* (*) Computers Math. Applic. 43 8/9 2002 1125 1134
    • (2002) Computers Math. Applic. , vol.43 , Issue.89 , pp. 1125-1134
    • Fu, C.L.1    Qiu, C.Y.2    Zhu, Y.B.3
  • 12
    • 0037211692 scopus 로고    scopus 로고
    • Wavelet and error estimate of surface heat flux
    • C.L. Fu, and C.Y. Qiu Wavelet and error estimate of surface heat flux J. Comput. Appl. Math. 150 2003 143 155
    • (2003) J. Comput. Appl. Math. , vol.150 , pp. 143-155
    • Fu, C.L.1    Qiu, C.Y.2
  • 13
    • 0242415832 scopus 로고    scopus 로고
    • Wavelets and regularization of sideways heat equation
    • C.Y. Qiu, C.L. Fu, and Y.B. Zhu Wavelets and regularization of sideways heat equation Computers Math. Applic. 46 5/6 2003 821 829
    • (2003) Computers Math. Applic. , vol.46 , Issue.56 , pp. 821-829
    • Qiu, C.Y.1    Fu, C.L.2    Zhu, Y.B.3
  • 14
    • 84988146345 scopus 로고    scopus 로고
    • The optimal stability estimate for some ill-posed Cauchy problem for a parabolic equation
    • P. Knabner, and S. Vessella The optimal stability estimate for some ill-posed Cauchy problem for a parabolic equation Math. Meth. Appl. Sci. 10 1998 575 583
    • (1998) Math. Meth. Appl. Sci. , vol.10 , pp. 575-583
    • Knabner, P.1    Vessella, S.2
  • 15
    • 0000427780 scopus 로고    scopus 로고
    • On a sideways parabolic equation
    • D.N. Háo, and H-J. Reinhardt On a sideways parabolic equation Inverse Problem 13 1997 297 309
    • (1997) Inverse Problem , vol.13 , pp. 297-309
    • Háo, D.N.1    Reinhardt, H.-J.2
  • 16
    • 0011911816 scopus 로고    scopus 로고
    • Optimal stable approximations for the sideways heat equation
    • U. Tautenhahn Optimal stable approximations for the sideways heat equation J. Inv. Ill-Posed Problems 5 3 1997 287 307
    • (1997) J. Inv. Ill-Posed Problems , vol.5 , Issue.3 , pp. 287-307
    • Tautenhahn, U.1
  • 18
    • 0034505550 scopus 로고    scopus 로고
    • Wavelet and Fourier method for solving the sideways heat equation
    • L. Eldén, F. Berntsson, and T. Regińska Wavelet and Fourier method for solving the sideways heat equation SIAM J. Scient. Comp. 21 16 2000 2187 2205
    • (2000) SIAM J. Scient. Comp. , vol.21 , Issue.16 , pp. 2187-2205
    • Eldén, L.1    Berntsson, F.2    Regińska, T.3
  • 19
    • 9544248656 scopus 로고    scopus 로고
    • Wavelet and spectral regularization methods for a sideways heat equation
    • C. Fu, X.-T. Xiong, H.-F. Li, and Y.-B. Zhu Wavelet and spectral regularization methods for a sideways heat equation Appl. Math. Comput. 160 2005 881 908
    • (2005) Appl. Math. Comput. , vol.160 , pp. 881-908
    • Fu, C.1    Xiong, X.-T.2    Li, H.-F.3    Zhu, Y.-B.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.