An unconditionally stable finite difference formula for a linear second order one space dimensional hyperbolic equation with variable coefficients

Applied Mathematics and Computation

Volumn 165, Issue 1, 2005, Pages 229-236

  Mohanty, R K ^a  

^a UNIVERSITY OF DELHI   (India)

Author keywords

Implicit scheme; Linear hyperbolic equation; RMS errors; Singular equation; Telegraph equation; Unconditionally stable; Variable coefficients

Indexed keywords

DIFFERENTIAL EQUATIONS; ERROR ANALYSIS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; PROBLEM SOLVING;

IMPLICIT SCHEMES; LINEAR HYPERBOLIC EQUATION; RMS ERRORS; SINGULAR EQUATIONS; TELEGRAPH EQUATIONS; UNCONDITIONALLY STABLE; VARIABLE COEFFICIENTS;

LINEAR EQUATIONS;

EID: 17444391655     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2004.07.002     Document Type: Article

References (7)

1. M. Ciment, and S.H. Leventhal A note on the operator compact implicit method for the wave equation Math. Comput. 32 1978 143 147
2. E.H. Twizell An explicit difference method for the wave equation with extended stability range BIT 19 1979 378 383
3. R.K. Mohanty, M.K. Jain, and K. George Fourth order approximations at first time level, linear stability analysis and the numerical solution of multi-dimensional second order nonlinear hyperbolic equations in polar coordinates J. Comput. Appl. Math. 93 1998 1 12
4. 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. 152 2004 799 806
5. 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. Comput. Math. 79 2002 133 142
6. G. Dahlquist On accuracy and unconditional stability of linear multi-step methods for second order differential equations BIT 18 1978 133 136
7. M.K. Jain Numerical Solution of Differential Equations second ed. 1984 Wiley Eastern New Delhi