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Volumn 168, Issue 2, 2005, Pages 1159-1168

Numerical schemes for one-dimensional Stefan-like problems with a forcing term

Author keywords

Boundary immobilisation; Forcing term; Moving boundary; Stefan problem; Variable space grid

Indexed keywords

BOUNDARY CONDITIONS; CONVERGENCE OF NUMERICAL METHODS; FINITE DIFFERENCE METHOD; STABILITY;

EID: 26044473078     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2003.10.067     Document Type: Article
Times cited : (16)

References (20)
  • 1
    • 84944482877 scopus 로고
    • Uber die theorie der eisbildung inbesondee uber die eisbindung im polarmeere
    • J. Stefan Uber die theorie der eisbildung inbesondee uber die eisbindung im polarmeere Ann. Phys. U. Chem. 42 1891 269 286
    • (1891) Ann. Phys. U. Chem. , vol.42 , pp. 269-286
    • Stefan, J.1
  • 4
    • 77957212243 scopus 로고
    • Two methods for the numerical solution of moving boundary problems in diffusion and heat flow
    • J. Crank Two methods for the numerical solution of moving boundary problems in diffusion and heat flow Quart. J. Mech. Appl. Math. X 2 1957 220 231
    • (1957) Quart. J. Mech. Appl. Math. , vol.10 , Issue.2 , pp. 220-231
    • Crank, J.1
  • 5
    • 0942305156 scopus 로고
    • Numerical solution of free boundary problem by interchanging dependent and independent variables
    • J. Crank, and T. Özis Numerical solution of free boundary problem by interchanging dependent and independent variables J. Inst. Math. Appl. 26 1980 77 85
    • (1980) J. Inst. Math. Appl. , vol.26 , pp. 77-85
    • Crank, J.1    Özis, T.2
  • 6
    • 0031169871 scopus 로고    scopus 로고
    • The numerical solution of one-phase classical Stefan problem
    • S. Kutluay, A.R. Bahadir, and A. Özdes The numerical solution of one-phase classical Stefan problem J. Comp. Appl. Math. 81 1997 135 144
    • (1997) J. Comp. Appl. Math. , vol.81 , pp. 135-144
    • Kutluay, S.1    Bahadir, A.R.2    Özdes, A.3
  • 7
    • 0142030984 scopus 로고    scopus 로고
    • A numerical solution of the Stefan problem with a Neumann-type boundary condition by enthalpy method
    • A. Esen, and S. Kutluay A numerical solution of the Stefan problem with a Neumann-type boundary condition by enthalpy method Appl. Math. Comput. 148 2004 321 329
    • (2004) Appl. Math. Comput. , vol.148 , pp. 321-329
    • Esen, A.1    Kutluay, S.2
  • 8
    • 0037965448 scopus 로고    scopus 로고
    • A variable time step Galerkin for a one-dimensional Stefan problem
    • N.S. Asaithambi A variable time step Galerkin for a one-dimensional Stefan problem Appl. Math. Comput. 81 1997 189 200
    • (1997) Appl. Math. Comput. , vol.81 , pp. 189-200
    • Asaithambi, N.S.1
  • 10
    • 84964236688 scopus 로고
    • The heat balance integral and its application to problems involving a change of phase
    • T.R. Goodman The heat balance integral and its application to problems involving a change of phase Trans. ASME 80 1958 335 342
    • (1958) Trans. ASME , vol.80 , pp. 335-342
    • Goodman, T.R.1
  • 12
    • 0037114099 scopus 로고    scopus 로고
    • Fully discrete approximation for a quasilinear Stefan problem with forcing term
    • H.Y. Lee, M.R. Ohm, and J.Y. Shin Fully discrete approximation for a quasilinear Stefan problem with forcing term Appl. Math. Comput. 133 2002 461 478
    • (2002) Appl. Math. Comput. , vol.133 , pp. 461-478
    • Lee, H.Y.1    Ohm, M.R.2    Shin, J.Y.3
  • 13
    • 0037670873 scopus 로고    scopus 로고
    • Mixed finite element method for a single phase quasi-linear Stefan problem with a forcing term in non-divergence form
    • M.R. Ohm Mixed finite element method for a single phase quasi-linear Stefan problem with a forcing term in non-divergence form J. Math. Anal. Appl. 281 1 2003 153 163
    • (2003) J. Math. Anal. Appl. , vol.281 , Issue.1 , pp. 153-163
    • Ohm, M.R.1
  • 16
    • 0018544691 scopus 로고
    • Free boundary problems for nonlinear parabolic equations with nonlinear free boundary conditions
    • A. Fasano, and M. Primicerio Free boundary problems for nonlinear parabolic equations with nonlinear free boundary conditions J. Math. Anal. Appl. 72 1979 247 273
    • (1979) J. Math. Anal. Appl. , vol.72 , pp. 247-273
    • Fasano, A.1    Primicerio, M.2
  • 17
    • 0037175403 scopus 로고    scopus 로고
    • A new approach for numerical identification of free boundary
    • C.K. Cho A new approach for numerical identification of free boundary Appl. Math. Comput. 133 2002 131 145
    • (2002) Appl. Math. Comput. , vol.133 , pp. 131-145
    • Cho, C.K.1
  • 18
    • 84984134352 scopus 로고
    • Numerical and machine solutions of the transient heat conduction problems involving melting or freezing
    • W.D. Murray, and F. Landis Numerical and machine solutions of the transient heat conduction problems involving melting or freezing J. Heat Transfer 81(C) 1959 106 112
    • (1959) J. Heat Transfer , vol.81 , Issue.C , pp. 106-112
    • Murray, W.D.1    Landis, F.2
  • 20
    • 0002594764 scopus 로고
    • Heat conduction in a melting solid
    • H.G. Landau Heat conduction in a melting solid Quart. J. Appl. Math. 8 1950 81 94
    • (1950) Quart. J. Appl. Math. , vol.8 , pp. 81-94
    • Landau, H.G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.