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

By Ranjan Kumar Mohanty, M. Jain, P. Mohanty. 2001

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Solution of the second-order one-dimensional hyperbolic telegraph equation by using the dual reciprocity boundary integral equation (DRBIE) method (2010, methodology): “In [24] a three-level implicit unconditionally stable alternating direction implicit (ADI) method for the two-dimensional linear hyperbolic equations is presented, which its accuracy is second order for both time and space components.”
High order implicit collocation method for the solution of two‐dimensional linear hyperbolic equation (2009, unknown): “Mohanty and Jain [1] introduced a new unconditionally stable alternating direction implicit (ADI) scheme of second order accurate in both spatial and time components for the partial differential equation (1.”
A numerical method for solving the hyperbolic telegraph equation (2008, background): “[5, 6] developed new three-level implicit unconditionally stable alternating direction implicit schemes for the two and three-space-dimensional linear hyperbolic equations.”