메뉴 건너뛰기




Volumn 234, Issue 8, 2010, Pages 2578-2586

Maximum norm error estimates of the CrankNicolson scheme for solving a linear moving boundary problem

Author keywords

Convergence; CrankNicolson scheme; Energy analysis; Moving boundaries; Stability

Indexed keywords

CONVECTION-DIFFUSION EQUATIONS; CRANK-NICOLSON SCHEME; ENERGY ANALYSIS; EQUIVALENT SYSTEM; ERROR ESTIMATES; LINEAR TRANSFORMATION; MAXIMUM NORM; MOVING BOUNDARIES; MOVING BOUNDARY PROBLEMS; NUMERICAL EXPERIMENTS; NUMERICAL SOLUTION; RECTANGULAR REGIONS; THEORETICAL RESULT; UNCONDITIONALLY STABLE;

EID: 77955304380     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2010.03.024     Document Type: Article
Times cited : (9)

References (16)
  • 2
    • 77955308991 scopus 로고    scopus 로고
    • A second-order difference scheme for a model in oil deposit
    • Z.Z. Sun A second-order difference scheme for a model in oil deposit Acta Math. Appl. Sin. 20 4 1997 551 558 (in Chinese)
    • (1997) Acta Math. Appl. Sin. , vol.20 , Issue.4 , pp. 551-558
    • Sun, Z.Z.1
  • 3
    • 0019601221 scopus 로고
    • Analysis of two-dimensional freezing an the outside of a coolant carrying tube
    • E.M. Sparrow, and C.F. Hsu Analysis of two-dimensional freezing an the outside of a coolant carrying tube Int. J. Heat Mass Transfer 24 1981 1345 1357
    • (1981) Int. J. Heat Mass Transfer , vol.24 , pp. 1345-1357
    • Sparrow, E.M.1    Hsu, C.F.2
  • 5
    • 0026203776 scopus 로고
    • A triphasic theory for the swelling and deformation behaviours of articular cartilage
    • W.M. Lai, J.S. Hou, and V.C. Mow A triphasic theory for the swelling and deformation behaviours of articular cartilage ASME J. Biomech. Eng. 113 1991 245 258
    • (1991) ASME J. Biomech. Eng. , vol.113 , pp. 245-258
    • Lai, W.M.1    Hou, J.S.2    Mow, V.C.3
  • 6
    • 17844390397 scopus 로고    scopus 로고
    • Mathematical modelling and controlled drug delivery: Matrix systems
    • M. Grassi, and G. Grassi Mathematical modelling and controlled drug delivery: matrix systems Curr. Drug Delivery 2 2005 97 116
    • (2005) Curr. Drug Delivery , vol.2 , pp. 97-116
    • Grassi, M.1    Grassi, G.2
  • 7
    • 26444558196 scopus 로고    scopus 로고
    • The iterative transformation method: Numerical solution of one-dimensional parabolic moving boundary problems
    • R. Fazio The iterative transformation method: numerical solution of one-dimensional parabolic moving boundary problems Int. J. Comput. Math. 78 2001 213 223
    • (2001) Int. J. Comput. Math. , vol.78 , pp. 213-223
    • Fazio, R.1
  • 8
    • 25644454229 scopus 로고    scopus 로고
    • On the finite differences schemes for the numerical solution of two-dimensional moving boundary problem
    • V. Glkac On the finite differences schemes for the numerical solution of two-dimensional moving boundary problem Appl. Math. Comput. 168 2005 549 556
    • (2005) Appl. Math. Comput. , vol.168 , pp. 549-556
    • Glkac, V.1
  • 9
    • 33846887417 scopus 로고    scopus 로고
    • Numerical solution for the model of vibrating elastic membrane with moving boundary
    • M.A. Rincon, and R.D. Rodrigues Numerical solution for the model of vibrating elastic membrane with moving boundary Commun. Nonlinear Sci. Numer. Simul. 12 2007 1089 1100
    • (2007) Commun. Nonlinear Sci. Numer. Simul. , vol.12 , pp. 1089-1100
    • Rincon, M.A.1    Rodrigues, R.D.2
  • 10
    • 67349106045 scopus 로고    scopus 로고
    • Numerical simulation of blowup in nonlocal reaction-diffusion equations using a moving mesh method
    • J. Ma, Y. Jiang, and K. Xiang Numerical simulation of blowup in nonlocal reaction-diffusion equations using a moving mesh method J. Comput. Appl. Math. 230 2009 8 21
    • (2009) J. Comput. Appl. Math. , vol.230 , pp. 8-21
    • Ma, J.1    Jiang, Y.2    Xiang, K.3
  • 11
    • 20444446370 scopus 로고    scopus 로고
    • A moving mesh finite element algorithm for the adaptive solution of time-dependent partial differential equations with moving boundaries
    • M.J. Baines, M.E. Hubbard, and P.K. Jimack A moving mesh finite element algorithm for the adaptive solution of time-dependent partial differential equations with moving boundaries Appl. Numer. Math. 54 2005 450 469
    • (2005) Appl. Numer. Math. , vol.54 , pp. 450-469
    • Baines, M.J.1    Hubbard, M.E.2    Jimack, P.K.3
  • 12
    • 0009085013 scopus 로고    scopus 로고
    • Theoretical and numerical analysis on a thermo-elastic system with discontinuities
    • Z. Li, and J. Zou Theoretical and numerical analysis on a thermo-elastic system with discontinuities J. Comput. Appl. Math. 91 1998 1 22
    • (1998) J. Comput. Appl. Math. , vol.91 , pp. 1-22
    • Li, Z.1    Zou, J.2
  • 13
    • 55549138751 scopus 로고    scopus 로고
    • Immersed-interface finite-element methods for elliptic interface problems with non-homogeneous jump conditions
    • Y. Gong, B. Li, and Z. Li Immersed-interface finite-element methods for elliptic interface problems with non-homogeneous jump conditions SIAM J. Numer. Anal. 46 2008 472 495
    • (2008) SIAM J. Numer. Anal. , vol.46 , pp. 472-495
    • Gong, Y.1    Li, B.2    Li, Z.3
  • 14
    • 53349162104 scopus 로고    scopus 로고
    • An immersed interface method for solving incompressible viscous flows with piecewise constant viscosity across a moving elastic membrane
    • Z. Tan, D.V. Le, Z. Li, K.M. Lim, and B.C. Khoo An immersed interface method for solving incompressible viscous flows with piecewise constant viscosity across a moving elastic membrane J. Comput. Phys. 227 2008 9955 9983
    • (2008) J. Comput. Phys. , vol.227 , pp. 9955-9983
    • Tan, Z.1    Le, D.V.2    Li, Z.3    Lim, K.M.4    Khoo, B.C.5
  • 15
    • 34547739491 scopus 로고    scopus 로고
    • An analysis of stability and convergence of a finite-difference discretization of a model parabolic PDE in 1D using a moving mesh
    • J.A. Mackenzie, and W.R. Mekwi An analysis of stability and convergence of a finite-difference discretization of a model parabolic PDE in 1D using a moving mesh IMA J. Numer. Anal. 27 2007 507 528
    • (2007) IMA J. Numer. Anal. , vol.27 , pp. 507-528
    • MacKenzie, J.A.1    Mekwi, W.R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.