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Volumn 26, Issue 3, 1997, Pages 233-247

A second-order space and time nodal method for the one-dimensional convection-diffusion equation

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; EQUATIONS OF MOTION; FINITE DIFFERENCE METHOD; PROBLEM SOLVING;

EID: 0031095086     PISSN: 00457930     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7930(96)00039-4     Document Type: Article
Times cited : (44)

References (21)
  • 3
    • 84968468860 scopus 로고
    • A multi-step formulation of the optimized Lax - Wendroff method for non-linear hyperbolic systems in two space variables
    • Gourlay, A. R. and Morris, J. L., A multi-step formulation of the optimized Lax - Wendroff method for non-linear hyperbolic systems in two space variables. Math. Comp., 1968, 22, 715-720.
    • (1968) Math. Comp. , vol.22 , pp. 715-720
    • Gourlay, A.R.1    Morris, J.L.2
  • 4
    • 0027208361 scopus 로고
    • Application of an operator-splitting algorithm for advection - Diffusion problems
    • Muralidhar, K., Verghese, M. and Pillai, K. M., Application of an operator-splitting algorithm for advection - diffusion problems. Numer. Heat Transfer A, 1993, 23, 99-113.
    • (1993) Numer. Heat Transfer A , vol.23 , pp. 99-113
    • Muralidhar, K.1    Verghese, M.2    Pillai, K.M.3
  • 5
    • 0002615718 scopus 로고
    • An analysis of the fractional step method
    • Perot, J. B., An analysis of the fractional step method. J. Comput. Phy., 1993, 108, 51-58.
    • (1993) J. Comput. Phy. , vol.108 , pp. 51-58
    • Perot, J.B.1
  • 6
    • 0024680502 scopus 로고
    • Eulerian - Lagrangian splitting methods for convection dominated equations
    • Xin, X. K. and Wong, Y. S., Eulerian - Lagrangian splitting methods for convection dominated equations. Fluid Dynamic Res., 1989, 5, 13-27.
    • (1989) Fluid Dynamic Res. , vol.5 , pp. 13-27
    • Xin, X.K.1    Wong, Y.S.2
  • 7
    • 84966253400 scopus 로고
    • Intermediate boundary conditions for time-split methods applied to hyperbolic partial differential equations
    • Le Veque, R. J., Intermediate boundary conditions for time-split methods applied to hyperbolic partial differential equations. Math. Comp., 1986, 47, 175, 37-54.
    • (1986) Math. Comp. , vol.47-175 , pp. 37-54
    • Le Veque, R.J.1
  • 8
    • 0024470996 scopus 로고
    • Process splitting of boundary conditions for the advection - Diffusion equation
    • Aiyesimoju, K. O. and Sobey, R. J., Process splitting of boundary conditions for the advection - diffusion equation. Int. J. Numer. Methods Fluids, 1989, 9, 235-244.
    • (1989) Int. J. Numer. Methods Fluids , vol.9 , pp. 235-244
    • Aiyesimoju, K.O.1    Sobey, R.J.2
  • 9
    • 0029294296 scopus 로고
    • Intermediate Drichlet boundary conditions for operator splitting algorithms for the advection - Diffusion equation
    • Khan, L. A. and Liu, P. L.-F., Intermediate Drichlet boundary conditions for operator splitting algorithms for the advection - diffusion equation. Computers & Fluids, 1995, 24, 447-458.
    • (1995) Computers & Fluids , vol.24 , pp. 447-458
    • Khan, L.A.1    Liu, P.L.-F.2
  • 10
    • 0000675784 scopus 로고
    • A nodal coarse-mesh method for the efficient numerical solution of laminar flow problems
    • Horak, W. C. and Dorning, J. J., A nodal coarse-mesh method for the efficient numerical solution of laminar flow problems. J. Comp. Phys., 1985, 59, 405-440.
    • (1985) J. Comp. Phys. , vol.59 , pp. 405-440
    • Horak, W.C.1    Dorning, J.J.2
  • 11
    • 0019078767 scopus 로고
    • A nodal Green's function method for multidimensional neutron diffusion calculations
    • Lawrence, R. D. and Doming, J. J., A nodal Green's function method for multidimensional neutron diffusion calculations. Nucl. Sci. Engng, 1980, 76, 218-231.
    • (1980) Nucl. Sci. Engng , vol.76 , pp. 218-231
    • Lawrence, R.D.1    Doming, J.J.2
  • 13
    • 0001426236 scopus 로고
    • A nodal integral approach to the numerical solution of partial differential equations
    • American Nuclear Society, LaGrange Park, IL
    • Azmy, Y. Y. and Doming, J. J., A nodal integral approach to the numerical solution of partial differential equations. In Advances in Reactor Computations, Volume II, pp. 893-909. American Nuclear Society, LaGrange Park, IL, 1983.
    • (1983) Advances in Reactor Computations , vol.2 , pp. 893-909
    • Azmy, Y.Y.1    Doming, J.J.2
  • 14
    • 0024135230 scopus 로고
    • Time-dependent nodal integral method for the investigation of bifurcation and nonlinear phenomena in fluid flow and natural convection
    • Wilson, G. L., Rydin, R. A. and Azmy, Y. Y., Time-dependent nodal integral method for the investigation of bifurcation and nonlinear phenomena in fluid flow and natural convection. Nucl. Sci. Engng, 1988, 100, 414-425.
    • (1988) Nucl. Sci. Engng , vol.100 , pp. 414-425
    • Wilson, G.L.1    Rydin, R.A.2    Azmy, Y.Y.3
  • 15
    • 0025621181 scopus 로고
    • The cell analytical-numerical method for solution of the advection - Dispersion equation: Two-dimensional problems
    • Elnawawy, O. A., Valocchi, A. J. and Ougouag, A. M., The cell analytical-numerical method for solution of the advection - dispersion equation: two-dimensional problems. Water Resources Res., 1990, 26, 11, 2705-2716.
    • (1990) Water Resources Res. , vol.26 , Issue.11 , pp. 2705-2716
    • Elnawawy, O.A.1    Valocchi, A.J.2    Ougouag, A.M.3
  • 17
    • 0000744370 scopus 로고
    • A third-order nodal integral method for the convection - Diffusion equation
    • Michael, E. P. E., Dorning, J. J. and Rizwan-uddin., A third-order nodal integral method for the convection - diffusion equation. Trans. Am. Nucl. Soc., 1994, 71, 195-197.
    • (1994) Trans. Am. Nucl. Soc. , vol.71 , pp. 195-197
    • Michael, E.P.E.1    Dorning, J.J.2    Rizwan-uddin3
  • 19
    • 85045588246 scopus 로고    scopus 로고
    • An improved coarse-mesh nodal integral method for partial differential equations
    • in press
    • Rizwan-uddin., An improved coarse-mesh nodal integral method for partial differential equations. Numerical Methods for Partial Differential Equations, in press.
    • Numerical Methods for Partial Differential Equations
    • Rizwan-uddin1
  • 20
    • 0019392789 scopus 로고
    • Analytical solutions for chemical transport with simultaneous adsorption. Zero-order production and first-order decay
    • van Genuchten, M. Th., Analytical solutions for chemical transport with simultaneous adsorption. Zero-order production and first-order decay. J. Hydrology, 1981, 49, 213-233.
    • (1981) J. Hydrology , vol.49 , pp. 213-233
    • Van Genuchten, M.Th.1
  • 21
    • 0019575119 scopus 로고
    • Don't suppress the wiggles - They're telling you something!
    • Gresho, P. M. and Lee, R. L., Don't suppress the wiggles - they're telling you something!. Computers & Fluids, 1981, 9, 223-253.
    • (1981) Computers & Fluids , vol.9 , pp. 223-253
    • Gresho, P.M.1    Lee, R.L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.