An unconditionally stable ADI method for the linear hyperbolic equation in three space dimensions

International Journal of Computer Mathematics

Volumn 79, Issue 1, 2002, Pages 133-142

  Mohanty, R K ^a   Jain, M K ^b   Arora, Urvashi ^a  

^a UNIVERSITY OF DELHI   (India)

^b UNIVERSITY OF MAURITIUS   (Mauritius)

Author keywords

ADI method; Damped wave equation; Linear hyperbolic equation; Pade' approximation; RMS errors; Unconditionally stable

Indexed keywords

ALGEBRA; APPROXIMATION THEORY; BOUNDARY CONDITIONS; COMPUTATIONAL METHODS; NUMBER THEORY;

ADI METHOD; DAMPED WAVE EQUATION; LINEAR HYPERBOLIC EQUATION; PADE' APPROXIMATION; RMS ERRORS; UNCONDITIONALLY STABLE;

LINEAR EQUATIONS;

EID: 0942302128     PISSN: 00207160     EISSN: 10290265     Source Type: Journal    
DOI: 10.1080/00207160211918     Document Type: Article

References (5)

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3. McKee, S. (1973). "High accuracy ADI methods for hyperbolic equations with variable coefficients", J. Inst. Maths. Applies., 11, 105-109.
4. Gourley, A. R. and Mitchell, A. R. (1969). "A classification of split difference methods for hyperbolic equations in several space dimensions", SIAM. J. Numer. Anal., 6, 62-71.
5. Jain, M. K. (1984). "Numerical solution of differential equations", 2nd edn., Wiley Eastern, New Delhi.