Numerical Determination of the Initial Condition in Cauchy Problems for a Hyperbolic Equation with a Small Parameterстатья
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Аннотация:Numerical methods are proposed for determining the initial condition in Cauchy problems for a hyperbolic equation with a small parameter multiplying the highest-order derivative. Additional information for the inverse problem is provided by the solution of the Cauchy problem specified at x = 0 as a function of time. Results of numerical calculations illustrating the potential of the proposed method are reported.