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New unconditionally stable difference schemes for the solution of multi-dimensional telegraphic equations. (English) Zbl 1181.65112
Summary: New unconditionally stable implicit difference schemes for the numerical solution of multi-dimensional telegraphic equations subject to appropriate initial and Dirichlet boundary conditions are discussed. Alternating direction implicit methods are used to solve two and three space dimensional problems. The resulting system of algebraic equations is solved using a tri-diagonal solver. Numerical results are presented to demonstrate the utility of the proposed methods.

MSC:
65M06Finite difference methods (IVP of PDE)
35L20Second order hyperbolic equations, boundary value problems
65M12Stability and convergence of numerical methods (IVP of PDE)
65F10Iterative methods for linear systems
65M15Error bounds (IVP of PDE)
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