An unconditionally stable alternating direction implicit scheme for the two space dimensional linear hyperbolic equation (Q2762705)

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.