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

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.

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
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References:

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