An unconditionally stable alternating direction implicit scheme for the two space dimensional linear hyperbolic equation. (English) Zbl 0990.65101

Mohanty, R. K.; Jain, M. K.

Numer. Methods Partial Differ. Equations 17, No. 6, 684-688 (2001).

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.

Reviewer: Vit Dolejsi (Praha)

MSC:

65M12	Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
65M06	Finite difference methods for initial value and initial-boundary value problems involving PDEs
35L15	Initial value problems for second-order hyperbolic equations

Keywords:

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

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