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Volumn 17, Issue 1, 2004, Pages 101-105

An Unconditionally Stable Difference Scheme for the One-Space-Dimensional Linear Hyperbolic Equation

Author keywords

Damped wave equation; Implicit scheme; Pade approximation; RMS errors; Second order linear hyperbolic equation; Telegraph equation; Unconditionally stable

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; CONVERGENCE OF NUMERICAL METHODS; DIFFERENTIAL EQUATIONS; INITIAL VALUE PROBLEMS; MATHEMATICAL TECHNIQUES; PROBLEM SOLVING;

EID: 0942300277     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-9659(04)90019-5     Document Type: Article
Times cited : (95)

References (8)
  • 1
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    • Twizell, E.H.1
  • 2
    • 0030216940 scopus 로고    scopus 로고
    • On the use of high order difference methods for the system of one space second order non-linear hyperbolic equations with variable coefficients
    • R.K. Mohanty, M.K. Jain and K. George, On the use of high order difference methods for the system of one space second order non-linear hyperbolic equations with variable coefficients, J. Comp. Appl. Math. 72, 421-431, (1996).
    • (1996) J. Comp. Appl. Math. , vol.72 , pp. 421-431
    • Mohanty, R.K.1    Jain, M.K.2    George, K.3
  • 3
    • 84966238003 scopus 로고
    • A note on the operator compact implicit method for the wave equation
    • M. Ciment and S.H, Leventhal, A note on the operator compact implicit method for the wave equation, Mathematics of Computation 32, 143-147, (1978).
    • (1978) Mathematics of Computation , vol.32 , pp. 143-147
    • Ciment, M.1    Leventhal, S.H.2
  • 4
    • 0035500142 scopus 로고    scopus 로고
    • An unconditionally stable alternating direction implicit scheme for the two space dimensional linear hyperbolic equation
    • R.K. Mohanty and M.K. Jain, An unconditionally stable alternating direction implicit scheme for the two space dimensional linear hyperbolic equation, Numer. Meth. Partial Diff. Eq. 17, 684-688, (2001).
    • (2001) Numer. Meth. Partial Diff. Eq. , vol.17 , pp. 684-688
    • Mohanty, R.K.1    Jain, M.K.2
  • 5
    • 0942302128 scopus 로고    scopus 로고
    • An unconditionally stable ADI method for the linear hyperbolic equation in three space dimensions
    • R.K. Mohanty, M.K. Jain and U. Arora, An unconditionally stable ADI method for the linear hyperbolic equation in three space dimensions, Int. J. Computer Math. 79, 133-142, (2002).
    • (2002) Int. J. Computer Math. , vol.79 , pp. 133-142
    • Mohanty, R.K.1    Jain, M.K.2    Arora, U.3
  • 7
    • 0004679277 scopus 로고
    • On accuracy and unconditional stability of linear multi-step methods for second order differential equations
    • G. Dahlquist, On accuracy and unconditional stability of linear multi-step methods for second order differential equations, BIT 18, 133-136, (1978).
    • (1978) BIT , vol.18 , pp. 133-136
    • Dahlquist, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.