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Error Estimates for the Time Discretization of a Semilinear Integrodifferential Parabolic Problem with Unknown Memory Kernel

  • Marijke Grimmonprez (a1), Karel Van Bockstal (a1) and Marián Slodička (a1)
Abstract
Abstract

This paper is devoted to the study of an inverse problem containing a semilinear integrodifferential parabolic equation with an unknown memory kernel. This equation is accompanied by a Robin boundary condition. The missing kernel can be recovered from an additional global measurement in integral form. In this contribution, an error analysis is performed for a time-discrete numerical scheme based on Backward Euler's Method. The theoretical results are supported by some numerical experiments.

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*Corresponding author. Email addresses: marijke.grimmonprez@ugent.be (Marijke Grimmonprez), karel.vanbockstal@ugent.be (Karel Van Bockstal), marian.slodicka@ugent.be (Marián Slodička)
References
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Numerical Mathematics: Theory, Methods and Applications
  • ISSN: 1004-8979
  • EISSN: 2079-7338
  • URL: /core/journals/numerical-mathematics-theory-methods-and-applications
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