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Approximate Solution of an Inverse Problem for a Singularly Perturbed Integro-Differential Heat Equation

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Abstract

The paper considers an inverse problem for a singularly perturbed integro-differential heat equation, which consists in determining the boundary condition from additional information on the solution of the initial-boundary value problem. It is proved that an approximate solution of the inverse problem can be obtained by using a finite number of terms in the expansion of the solution of the initial-boundary value problem in a small parameter.

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Funding

This work was supported by the Ministry of Education and Science of the Russian Federation within the program of the Moscow Center for Fundamental and Applied Mathematics (project no. 075-15-2022-284).

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  1. Lomonosov Moscow State University, 119999, Moscow, Russia

    A. M. Denisov

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  1. A. M. Denisov
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Correspondence to A. M. Denisov.

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Translated by E. Chernokozhin

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Denisov, A.M. Approximate Solution of an Inverse Problem for a Singularly Perturbed Integro-Differential Heat Equation. Comput. Math. and Math. Phys. 63, 837–844 (2023). https://doi.org/10.1134/S0965542523050081

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  • DOI: https://doi.org/10.1134/S0965542523050081

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