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Volumn 49, Issue 9-10, 2009, Pages 1985-1993

An unconditionally stable spline difference scheme of O (k2 + h4) for solving the second-order 1D linear hyperbolic equation

Author keywords

Accuracy; Quartic spline; Second order linear hyperbolic equation; Spline difference scheme; Unconditionally stable

Indexed keywords

ACCURACY; FINITE-DIFFERENCE DISCRETIZATION; FOURTH ORDERS; NUMERICAL EXAMPLES; NUMERICAL SOLUTIONS; QUARTIC SPLINE; SECOND-ORDER LINEAR HYPERBOLIC EQUATION; SPACE DIRECTIONS; STABILITY ANALYSIS; THREE-LEVEL; UNCONDITIONALLY STABLE;

EID: 63449140298     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2008.12.001     Document Type: Article
Times cited : (24)

References (11)
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  • 2
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    • Mohanty, R.K.1    Jain, M.K.2    George, K.3
  • 3
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    • Ciment, M.1    Leventhal, S.H.2
  • 4
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    • An unconditionally stable alternating direction implicit scheme for the two space dimensional linear hyperbolic equation
    • Mohanty R.K., and Jain M.K. An unconditionally stable alternating direction implicit scheme for the two space dimensional linear hyperbolic equation. Numerical Methods for Partial Differential Equations 17 6 (2001) 684-688
    • (2001) Numerical Methods for Partial Differential Equations , vol.17 , Issue.6 , 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 dimensional
    • Mohanty R.K., Jain M.K., and Arora U. An unconditionally stable ADI method for the linear hyperbolic equation in three space dimensional. International Journal of Computer Mathematics 79 1 (2002) 133-142
    • (2002) International Journal of Computer Mathematics , vol.79 , Issue.1 , pp. 133-142
    • Mohanty, R.K.1    Jain, M.K.2    Arora, U.3
  • 6
    • 0942300277 scopus 로고    scopus 로고
    • An unconditionally stable difference scheme for the one-space-dimensional linear hyperbolic equation
    • Mohanty R.K. An unconditionally stable difference scheme for the one-space-dimensional linear hyperbolic equation. Applied Mathematics Letters 17 1 (2004) 101-105
    • (2004) Applied Mathematics Letters , vol.17 , Issue.1 , pp. 101-105
    • Mohanty, R.K.1
  • 7
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    • Unconditionally stable difference schemes for a one-space-dimensional linear hyperbolic equation
    • Gao F., and Chi C.M. Unconditionally stable difference schemes for a one-space-dimensional linear hyperbolic equation. Applied Mathematics and Computation 187 2 (2007) 1272-1276
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  • 10
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    • A new discretization method of order-four for the numerical solution of one-space dimensional second-order quasi-linear hyperbolic equation
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    • Miller, J.J.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.