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Asymptotic Properties of Solution and Difference Scheme for One Nonlinear Integro-Differential Model

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Mathematics, Informatics, and Their Applications in Natural Sciences and Engineering (AMINSE 2017)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 276))

Abstract

One type of integro-differential systems arising in mathematical modeling of the process of penetration of the magnetic field into a substance is studied. The model is based on the system of Maxwell equations. Uniqueness and large time behavior of solution of the corresponding initial-boundary value problem for the aforementioned model are given. Convergence of the fully discrete scheme is proved. A wide class of nonlinearity is studied.

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Authors and Affiliations

  1. I. Vekua Institute of Applied Mathematics of I. Javakhishvili Tbilisi State University, Georgian Technical University, 2 University street, 0186, Tbilisi, Georgia

    Temur Jangveladze & Zurab Kiguradze

  2. Department of Electrical and Computer Engineering, Electromagnetic Compatibility Laboratory, Missouri University of Science and Technology, 4000 Enterprise Drive, Rolla, MO, 65409, USA

    Zurab Kiguradze

Authors
  1. Temur Jangveladze
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  2. Zurab Kiguradze
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Correspondence to Temur Jangveladze .

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Editors and Affiliations

  1. Ilia Vekua Institute of Applied Mathematics & Faculty of Exact and Natural Sciences, Ivane Javakhishvili Tbilisi State University, Tbilisi, Georgia

    George Jaiani

  2. Georgian Technical University, Tbilisi, Georgia

    David Natroshvili

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Jangveladze, T., Kiguradze, Z. (2019). Asymptotic Properties of Solution and Difference Scheme for One Nonlinear Integro-Differential Model. In: Jaiani, G., Natroshvili, D. (eds) Mathematics, Informatics, and Their Applications in Natural Sciences and Engineering. AMINSE 2017. Springer Proceedings in Mathematics & Statistics, vol 276. Springer, Cham. https://doi.org/10.1007/978-3-030-10419-1_7

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