Unconditionally stable difference schemes for a one-space-dimensional linear hyperbolic equation

Applied Mathematics and Computation

Volumn 187, Issue 2, 2007, Pages 1272-1276

  Gao, Feng ^a   Chi, Chunmei ^a  

^a QINGDAO TECHNOLOGICAL UNIVERSITY   (China)

Author keywords

Damped wave equation; Explicit scheme; Pade approximation; Second order linear hyperbolic equation; Telegraph equation; Unconditionally stable

Indexed keywords

ASYMPTOTIC STABILITY; BOUNDARY CONDITIONS; NUMBER THEORY; NUMERICAL METHODS; WAVE EQUATIONS;

EXPLICIT SCHEMES; HYPERBOLIC EQUATIONS; PADE APPROXIMATION; SECOND ORDER LINEAR HYPERBOLIC EQUATIONS;

LINEAR EQUATIONS;

EID: 34247184613     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2006.09.057     Document Type: Article

References (6)

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3. Ciment M., and Leventhal S.H. A note on the operator compact implicit method for the wave equation. Math. Comput. 32 (1978) 143-147
4. Mohanty R.K., and Jam M.K. An unconditionally stable alternating direction implicit scheme for the two space dimensional linear hyperbolic equation. Namer. Meth. Partial D. Eq. 17 (2001) 684-688
5. Mohanty R.K., Jain M.K., and Arora U. An unconditionally stable AD1 method for the linear hyperbolic equation in three space dimensions. Int. J. Comput. Math. 79 (2002) 133-142
6. Mohanty R.K. An unconditionally stable difference scheme for the one-space-dimensional linear hyperbolic equation. Appl. Math. Lett. 17 (2004) 101-105