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This paper gives an estimate for the initial-boundary value problem of wave equations by using the Fictitious Time Integration Method (FTIM) previously developed by Liu and Atluri [1]. Given examples confirm that FTIM is highly efficient approach to find the true solutions. It is interesting that the FTIM can easily treat the boundary value problems without any iteration and has high efficiency and high accuracy.

A Fictitious Time Integration Method For A One-dimensional Hyperbolic Boundary Value Problem