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Zbl 0990.65101
Mohanty, R.K.; Jain, M.K.
An unconditionally stable alternating direction implicit scheme for the two space dimensional linear hyperbolic equation. (English)
[J] Numer. Methods Partial Differ. Equations 17, No.6, 684-688 (2001). ISSN 0749-159X; ISSN 1098-2426/e

The authors present a new unconditionally stable implicit alterning direction implicit scheme of second order for the difference solution of a linear hyperbolic equation subject to appropriate initial and Dirichlet boundary conditions. The resulting system is solved by a split method. A complete stability analysis is presented. Two numerical results are provided to demonstrate the efficiency and accuracy of the method.
[Vit Dolejsi (Praha)]

MSC 2000:: *65M12 Stability and convergence of numerical methods (IVP of PDE)
65M06 Finite difference methods (IVP of PDE)
35L15 Second order hyperbolic equations, initial value problems

Keywords: linear hyperbolic equation; damped wave equation; ADI scheme; finite difference method; alterning direction implicit scheme; stability; numerical results

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Zentralblatt MATH Berlin [Germany]