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An algorithm for dynamic reconstruction of the right-hand side of a second-order equation with distributed parameters

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Abstract

The dynamic reconstruction of the right-hand side of a second-order differential equation is considered. A solution algorithm is proposed that is robust to information noise and computational errors. The algorithm is constructed using dynamic inversion theory.

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Authors and Affiliations

  1. Krasovskii Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences, Yekaterinburg, 620219, Russia

    V. I. Maksimov

  2. Ural Federal University, Yekaterinburg, 620002, Russia

    V. I. Maksimov

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  1. V. I. Maksimov
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Correspondence to V. I. Maksimov.

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Original Russian Text © V.I. Maksimov, 2017, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2017, Vol. 57, No. 8, pp. 1255–1269.

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Maksimov, V.I. An algorithm for dynamic reconstruction of the right-hand side of a second-order equation with distributed parameters. Comput. Math. and Math. Phys. 57, 1248–1261 (2017). https://doi.org/10.1134/S0965542517080097

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  • DOI: https://doi.org/10.1134/S0965542517080097

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