An operator splitting technique for an unconditionally stable difference method for a linear three space dimensional hyperbolic equation with variable coefficients

Applied Mathematics and Computation

Volumn 162, Issue 2, 2005, Pages 549-557

  Mohanty, R K ^a  

^a UNIVERSITY OF DELHI   (India)

Author keywords

Implicit scheme; Operator splitting method; RMS errors; Singular equation; Telegraph equation; Unconditionally stable; Variable coefficients

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; ERROR ANALYSIS; MATHEMATICAL OPERATORS; TELEGRAPH;

IMPLICIT SCHEME; OPERATOR SPLITTING METHOD; SINGULAR EQUATION; TELEGRAPH EQUATION; UNCONDITIONALLY STABLE; VARIABLE COEFFICIENTS;

LINEAR EQUATIONS;

EID: 10444258983     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2003.12.135     Document Type: Article

References (6)

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2. A.R. Gourley, A.R. Mitchell, A classification of split difference methods for hyperbolic equations in several space dimensions, SIAM. J. Numer. Anal. 6 (1969) 62-71.
3. R.K. Mohanty, M.K. Jain, K. George, High accuracy difference schemes for a class of singular three space dimensional hyperbolic equations, Int. J. Computer Math. 56 (1995) 185-198.
4. R.K. Mohanty, An unconditionally stable difference scheme for the one space dimensional linear hyperbolic equation, Appl. Math. Lett., in press.
5. R.K. Mohanty, An operator splitting method for an unconditionally stable difference scheme for a linear hyperbolic equation with variable coefficients in two space dimensions, Appl. Math. Comput., in press.
6. M.K. Jain, Numerical solution of differential equations, second ed., Wiley Eastern, New Delhi, 1984.