Email this article Numerical Determination of the Initial Condition in Cauchy Problems for a Hyperbolic Equation with a Small Parameter
- Authors: Denisov A.M.1, Solov’eva S.I.1
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Affiliations:
- Faculty of Computational Mathematics and Cybernetics, Moscow State University
- Issue: Vol 29, No 1 (2018)
- Pages: 1-9
- Section: I. Numerical Methods
- URL: https://journals.rcsi.science/1046-283X/article/view/247665
- DOI: https://doi.org/10.1007/s10598-018-9383-8
- ID: 247665
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Abstract
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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About the authors
A. M. Denisov
Faculty of Computational Mathematics and Cybernetics, Moscow State University
Author for correspondence.
Email: den@cmc.msu.ru
Russian Federation, Moscow
S. I. Solov’eva
Faculty of Computational Mathematics and Cybernetics, Moscow State University
Email: den@cmc.msu.ru
Russian Federation, Moscow
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