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Volumn 17, Issue 3, 2001, Pages 277-289

Fourth-order approximation for the three space dimensional certain mildly quasi-linear hyperbolic equation

Author keywords

Damped wave equation; Linear stability; Operator splitting; Pad approximation; Quasi linear

Indexed keywords


EID: 0035340039     PISSN: 0749159X     EISSN: None     Source Type: Journal    
DOI: 10.1002/num.6     Document Type: Article
Times cited : (15)

References (10)
  • 1
    • 0029517526 scopus 로고
    • High accuracy difference schemes for a class of singular three space dimensional hyperbolic equations
    • R. K. Mohanty, K. George, and M. K. Jain, High accuracy difference schemes for a class of singular three space dimensional hyperbolic equations, Int J Comp Math 56 (1995), 185-198.
    • (1995) Int J Comp Math , vol.56 , pp. 185-198
    • Mohanty, R.K.1    George, K.2    Jain, M.K.3
  • 2
    • 0042082744 scopus 로고
    • Alternating direction implicit methods for hyperbolic differential equations
    • M. Lees, Alternating direction implicit 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
    • 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 Appl 11 (1973), 105-109.
    • (1973) J Inst Math Appl , vol.11 , pp. 105-109
    • McKee, S.1
  • 4
    • 0028255825 scopus 로고
    • Fourth order operator splitting method for the three space parabolic equation with variable coefficients
    • R. K. Mohanty and M. K. Jain, Fourth order operator splitting method for the three space parabolic equation with variable coefficients, Int J Comp Math 50 (1994), 55-64.
    • (1994) Int J Comp Math , vol.50 , pp. 55-64
    • Mohanty, R.K.1    Jain, M.K.2
  • 5
    • 84985426179 scopus 로고
    • The numerical solution of the system of 3-D nonlinear elliptic equations with mixed derivatives and variable coefficients using fourth-order difference methods
    • R. K. Mohanty and M. K. Jain, The numerical solution of the system of 3-D nonlinear elliptic equations with mixed derivatives and variable coefficients using fourth-order difference methods, Numer Meth Partial Diff Eq 11 (1995), 187-197.
    • (1995) Numer Meth Partial Diff Eq , vol.11 , pp. 187-197
    • Mohanty, R.K.1    Jain, M.K.2
  • 8
    • 84949795680 scopus 로고
    • Higher order compact implicit schemes for the wave equations
    • M. Ciment and S. H. Leventhal, Higher order compact implicit schemes for the wave equations, Math Comp 29 (1975), 985-994.
    • (1975) Math Comp , vol.29 , pp. 985-994
    • Ciment, M.1    Leventhal, S.H.2
  • 9
    • 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 (1978), 1623-1628.
    • (1978) Int J Num Meth Eng , pp. 1623-1628
    • Iyengar, S.R.K.1    Mittal, R.C.2
  • 10
    • 0032474606 scopus 로고    scopus 로고
    • Fourth order approximation at first time level, linear stability analysis and the numerical solution of multi-dimensional second-order non-linear hyperbolic equations in polar coordinates
    • R. K. Mohanty, M. K. Jain, and K. George, Fourth order approximation at first time level, linear stability analysis and the numerical solution of multi-dimensional second-order non-linear hyperbolic equations in polar coordinates, J Comp Appl Math 93 (1998), 1-12.
    • (1998) J Comp Appl Math , vol.93 , pp. 1-12
    • Mohanty, R.K.1    Jain, M.K.2    George, K.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.