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Numerical Determination of the Initial Condition in Cauchy Problems for a Hyperbolic Equation with a Small Parameter

  • I. NUMERICAL METHODS
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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.

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Authors and Affiliations

  1. Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, Russia

    A. M. Denisov & S. I. Solov’eva

Authors
  1. A. M. Denisov
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  2. S. I. Solov’eva
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Correspondence to A. M. Denisov.

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Translated from Prikladnaya Matematika i Informatika, No. 54, 2017, pp. 5–12.

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Denisov, A.M., Solov’eva, S.I. Numerical Determination of the Initial Condition in Cauchy Problems for a Hyperbolic Equation with a Small Parameter. Comput Math Model 29, 1–9 (2018). https://doi.org/10.1007/s10598-018-9383-8

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  • DOI: https://doi.org/10.1007/s10598-018-9383-8

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