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A Compact Filter Regularization Method for Solving Sideways Heat Equation

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Numerical Computations: Theory and Algorithms (NUMTA 2019)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 11974))

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Abstract

In this paper, the stable approximate solution of the sideways heat equation is numerically investigated. The problem is severely ill-posed because if the solution exists, it does not depend continuously on the data. We introduce the compact filter regularization as a new, simple and convenient regularization method. Furthermore, the numerical implementation of the method is discussed. The numerical example shows that the proposed method is efficient and feasible.

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Acknowledgement

The second author also acknowledge the support provided by the Department of Science and Technology, India, under the grant number MTR/2018/000371.

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Authors and Affiliations

  1. Department of Mathematics, IIT Delhi, Hauz Khas, 110016, New Delhi, India

    Ankita Shukla & Mani Mehra

Authors
  1. Ankita Shukla
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  2. Mani Mehra
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Corresponding author

Correspondence to Mani Mehra .

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Editors and Affiliations

  1. University of Calabria, Rende, Italy

    Yaroslav D. Sergeyev

  2. University of Calabria, Rende, Italy

    Dmitri E. Kvasov

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Shukla, A., Mehra, M. (2020). A Compact Filter Regularization Method for Solving Sideways Heat Equation. In: Sergeyev, Y., Kvasov, D. (eds) Numerical Computations: Theory and Algorithms. NUMTA 2019. Lecture Notes in Computer Science(), vol 11974. Springer, Cham. https://doi.org/10.1007/978-3-030-40616-5_45

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  • DOI: https://doi.org/10.1007/978-3-030-40616-5_45

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-40615-8

  • Online ISBN: 978-3-030-40616-5

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