An unconditionally stable parallel difference scheme for telegraph equation

Mathematical Problems in Engineering

Volumn 2009, Issue , 2009, Pages

  Borhanifar, A ^a   Abazari, Reza ^a  

^a UNIVERSITY OF MOHAGHEGH ARDABILI   (Iran)

Author keywords

[No Author keywords available]

Indexed keywords

DOMAIN DECOMPOSITIONS; IMPLICIT METHODS; INTERNAL NODES; NUMERICAL EXPERIMENTS; PARALLEL DIFFERENCE SCHEME; SUBDOMAIN; TELEGRAPH EQUATION; UNCONDITIONAL STABILITY; UNCONDITIONALLY STABLE;

DIFFERENCE EQUATIONS; DOMAIN DECOMPOSITION METHODS; TELEGRAPH;

CONVERGENCE OF NUMERICAL METHODS;

EID: 67651210990     PISSN: 1024123X     EISSN: 15635147     Source Type: Journal    
DOI: 10.1155/2009/969610     Document Type: Article

References (11)

1. J. Gao and G. He, "An unconditionally stable parallel difference scheme for parabolic equations," Applied Mathematics and Computation, vol. 135, no. 2-3, pp. 391"398, 2003.
2. R. K. Mohanty, M. K. Jain, and U. Arora, "An unconditionally stable ADI method for the linear hyperbolic equation in three space dimensions," International Journal of Computer Mathematics, vol. 79, no. 1, pp. 133"142, 2002.
3. R. K. Mohanty, "An unconditionally stable difference scheme for the one-space-dimensional linear hyperbolic equation," Applied Mathematics Letters, vol. 17, no. 1, pp. 101"105, 2004.
4. R. K. Mohanty, "An unconditionally stable finite difference formula for a linear second order one space dimensional hyperbolic equation with variable coefficients," Applied Mathematics and Computation, vol. 165, no. 1, pp. 229"236, 2005.
5. M. K. Jain, Numerical Solution of Differential Equations,Wiley Eastern, New Delhi, India, 1991.
6. M. S. Sahimi, E. Sundararajan, M. Subramaniam, and N. A. A. Hamid, "The D"Yakonov fully explicit variant of the iterative decomposition method," Computers & Mathematics with Applications, vol. 42, no. 10-11, pp. 1485"1496, 2001.
7. V. K. Saul'yev, Integration of Equations of Parabolic Type Equation by the Method of Net, Pergamon Press, New York, NY, USA, 1964.
8. D. J. Evans, "Alternating group explicit method for the diffusion equation," Applied Mathematical Modelling, vol. 9, no. 3, pp. 201"206, 1985.
9. U. M. Ascher, S. J. Ruuth, and B. T. R. Wetton, "Implicit-explicit methods for time dependent partial differential equations," SIAM Journal on Numerical Analysis, vol. 32, no. 3, pp. 797"823, 1995.
10. R. D. Richtmeyer and K.W.Morton, Difference Method for Initial-Value Problems, Interscince, New York, NY, US, 1967.
11. G. D. Smith, Numerical Solution of Partial Differential Equations: Finite Difference Methods,Oxford University Press, Oxford, UK, 1990.