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Volumn 17, Issue 6, 2001, Pages 619-631

An unconditionally stable and O(τ2 + h4) order L∞ convergent difference scheme for linear parabolic equations with variable coefficients

Author keywords

Convergence; Extrapolation; Finite difference; Parabolic equation; Stability

Indexed keywords


EID: 0035498905     PISSN: 0749159X     EISSN: None     Source Type: Journal    
DOI: 10.1002/num.1030     Document Type: Article
Times cited : (28)

References (8)
  • 1
    • 0346084595 scopus 로고
    • High accuracy difference formulae for the numerical solution to the heat conduction equation
    • A. R. Mitchell and R. P. Pearce, High accuracy difference formulae for the numerical solution to the heat conduction equation, Comp J 5 (1962), 142-146.
    • (1962) Comp J , vol.5 , pp. 142-146
    • Mitchell, A.R.1    Pearce, R.P.2
  • 5
    • 0003271249 scopus 로고
    • Numerical partial differential equations: Finite difference methods
    • Springer-Verlag, Berlin
    • J. W. Thomas, Numerical partial differential equations: finite difference methods, TAM, Vol. 22, Springer-Verlag, Berlin, 1995.
    • (1995) TAM , vol.22
    • Thomas, J.W.1
  • 6
    • 84985376342 scopus 로고
    • A fourth order difference method for the one-dimensional general quasilinear parabolic partial differential equation
    • M. K. Jain, R. K. Jain, and R. K. Mohanty, A fourth order difference method for the one-dimensional general quasilinear parabolic partial differential equation, Numer Meth Partial Diff Eq 6 (1990), 311-319.
    • (1990) Numer Meth Partial Diff Eq , vol.6 , pp. 311-319
    • Jain, M.K.1    Jain, R.K.2    Mohanty, R.K.3
  • 7
    • 0041741338 scopus 로고
    • High order difference methods for system of 1-D nonlinear parabolic partial differential equations
    • M. K. Jain, R. K. Jain, and R. K. Mohanty, High order difference methods for system of 1-D nonlinear parabolic partial differential equations, Int J Comp Math 37 (1990), 105-112.
    • (1990) Int J Comp Math , vol.37 , pp. 105-112
    • Jain, M.K.1    Jain, R.K.2    Mohanty, R.K.3
  • 8
    • 0005374978 scopus 로고    scopus 로고
    • 4) finite difference method for one-space Burger's equation in polar coordinates
    • 4) finite difference method for one-space Burger's equation in polar coordinates, Numer Meth Partial Diff Eq 12 (1996), 579-583.
    • (1996) Numer Meth Partial Diff Eq , vol.12 , pp. 579-583
    • Mohanty, R.K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.