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Volumn 17, Issue 6, 2001, Pages 684-688

An unconditionally stable alternating direction implicit scheme for the two space dimensional linear hyperbolic equation

Author keywords

ADI scheme; Damped wave equation; Linear hyperbolic equation; RMS errors; Unconditionally stable

Indexed keywords


EID: 0035500142     PISSN: 0749159X     EISSN: None     Source Type: Journal    
DOI: 10.1002/num.1034     Document Type: Article
Times cited : (96)

References (7)
  • 1
    • 0030170705 scopus 로고    scopus 로고
    • High order difference schemes for the system of two space dimensional second order nonlinear hyperbolic equation with variable coefficients
    • R. K. Mohanty, M. K. Jain, and K. George, High order difference schemes for the system of two space dimensional second order nonlinear hyperbolic equation with variable coefficients, J. Comp. Appl. Math. 70 (1996), 231-243.
    • (1996) J. Comp. Appl. Math. , vol.70 , pp. 231-243
    • Mohanty, R.K.1    Jain, M.K.2    George, K.3
  • 2
    • 0042082744 scopus 로고
    • Alternating direction methods for hyperbolic differential equations
    • M. Lees, Alternating direction methods for hyperbolic differential equations, J. Soc. Indust. Appl. Math. 10 (1962), 610-616.
    • (1962) J. Soc. Indust. Appl. Math. , vol.10 , pp. 610-616
    • Lees, M.1
  • 3
    • 0347975059 scopus 로고
    • An explicit difference method for the wave equation with extended stability range
    • E. H. Twizell, An explicit difference method for the wave equation with extended stability range, BIT 19 (1979), 378-383.
    • (1979) BIT , vol.19 , pp. 378-383
    • Twizell, E.H.1
  • 4
    • 84985309777 scopus 로고
    • Difference schemes for second order hyperbolic equations
    • M. K. Jain, R. Ahuja, and S. Bhattacharya, "Difference schemes for second order hyperbolic equations," Int. J. Num. Meth. Eng. 10 (1976), 960-964.
    • (1976) Int. J. Num. Meth. Eng. , vol.10 , pp. 960-964
    • Jain, M.K.1    Ahuja, R.2    Bhattacharya, S.3
  • 5
    • 84985360133 scopus 로고
    • High order difference schemes for the wave equation
    • S. R. K. Iyengar and R. C. Mittal, "High order difference schemes for the wave equation," Int. J. Num. Meth. Eng. 12 (1978), 1623-1627.
    • (1978) Int. J. Num. Meth. Eng. , vol.12 , pp. 1623-1627
    • Iyengar, S.R.K.1    Mittal, R.C.2
  • 7
    • 0042850255 scopus 로고
    • High accuracy ADI methods for hyperbolic equations with variable coefficients
    • S. Mckee, High accuracy ADI methods for hyperbolic equations with variable coefficients, J. Inst. Math. Applics. 11 (1973), 105-109.
    • (1973) J. Inst. Math. Applics. , vol.11 , pp. 105-109
    • McKee, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.