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Numerical Solution of the Time and Rigidity Dependent Three Dimensional Second Order Partial Differential Equation

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Book cover Parallel Processing and Applied Mathematics (PPAM 2009)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6067))

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Abstract

The method of the numerical solution of the time and rigidity dependent three dimensional (3-D) second order partial differential equation describing the anisotropic diffusion of the galactic cosmic ray particles in the heliosphere is proposed. A good agreement between the results of the numerical solution and experimental data is demonstrated. The proposed numerical method gives a broad possibility for implementation of the parallel programming techniques, and could be successfully used to solve second order partial differential equations, among them equations describing different classes of galactic cosmic ray intensity variations observed due to anisotropic diffusion of the galactic cosmic ray particles in the heliosphere.

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Author information

Authors and Affiliations

  1. Institute of Computer Science, University of Podlasie, 3 Maja 54, Siedlce, Poland

    Anna Wawrzynczak

  2. Institute of Math. and Physics, University of Podlasie, 3 Maja 54, Siedlce, Poland

    Michael V. Alania

Authors
  1. Anna Wawrzynczak
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  2. Michael V. Alania
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Editor information

Editors and Affiliations

  1. Institute of Computational and Information Sciences, Czestochowa University of Technology,  

    Roman Wyrzykowski

  2. Department of Electrical Engineering and Computer Science, University of Tennessee, TN 37996-3450, Knoxville, USA

    Jack Dongarra

  3. Institute of Computer and Information Science, Czestochowa University of Technology, Dabrowskiego 73, PL-42-200, Czestochowa, Poland

    Konrad Karczewski

  4. Department of Informatics and Mathematical Modeling, Technical University of Denmark, Richard Petersens Plads, Building 321, 2800, Kongens Lyngby, Denmark

    Jerzy Wasniewski

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Wawrzynczak, A., Alania, M.V. (2010). Numerical Solution of the Time and Rigidity Dependent Three Dimensional Second Order Partial Differential Equation. In: Wyrzykowski, R., Dongarra, J., Karczewski, K., Wasniewski, J. (eds) Parallel Processing and Applied Mathematics. PPAM 2009. Lecture Notes in Computer Science, vol 6067. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14390-8_12

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  • DOI: https://doi.org/10.1007/978-3-642-14390-8_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-14389-2

  • Online ISBN: 978-3-642-14390-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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