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The Accuracy of Approximate Solutions for a Boundary Value Inverse Problem with Final Overdetermination

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Mathematical Optimization Theory and Operations Research (MOTOR 2019)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1090))

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Abstract

The paper aims to investigate the accuracy of the methods for approximate solving a boundary value inverse problem with final overdetermination for a parabolic equation. We use the technique of the continuation to the complex domain and the expansion of the unknown function into a Dirichlet series (exponential series) to formulate the inverse problem as a linear operator equation of the first kind in the appropriate linear normed spaces. This allows us to estimate the continuity module for the inverse problem through classical spectral technique and investigate the order-optimal approximate methods for the boundary value inverse problem under study.

The work was supported by Act 211 Government of the Russian Federation, contract No 02.A03.21.0011.

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Authors and Affiliations

  1. South Ural State University, Chelyabinsk, Russia

    Elena Tabarintseva

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  1. Elena Tabarintseva
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Correspondence to Elena Tabarintseva .

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Editors and Affiliations

  1. Sobolev Institute of Mathematics, Novosibirsk, Russia

    Igor Bykadorov

  2. University of Greenwich, London, UK

    Vitaly Strusevich

  3. University of Aveiro, Aveiro, Portugal

    Tatiana Tchemisova

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Tabarintseva, E. (2019). The Accuracy of Approximate Solutions for a Boundary Value Inverse Problem with Final Overdetermination. In: Bykadorov, I., Strusevich, V., Tchemisova, T. (eds) Mathematical Optimization Theory and Operations Research. MOTOR 2019. Communications in Computer and Information Science, vol 1090. Springer, Cham. https://doi.org/10.1007/978-3-030-33394-2_44

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  • DOI: https://doi.org/10.1007/978-3-030-33394-2_44

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-33393-5

  • Online ISBN: 978-3-030-33394-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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