Iterative Solution of a Nonclassical Problem for the Equation of String Vibrations

The article considers a nonclassical problem of the second-order hyperbolic equation, where some additional conditions are given as a supplementary to the boundary conditions at the ends of the strings: at the initial time it is the speed of the string, at the final time - displacement of the string. The iterative method is proposed for the numerical solution of the problem. This method was previously used by the authors of this article to address the retrospective thermal conductivity problem. Sample calculations of model problems including the ones with random errors in the input data are given.

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