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Method of Lines and Finite Difference Schemes with Exact Spectrum for Solving Some Linear Problems of Mathematical Physics

  • Harijs Kalis
  • Sergejs Rogovs
  • Aigars Gedroics
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8236)

Abstract

In this paper linear initial-boundary-value problems of mathematical physics with different type boundary conditions (BCs) and periodic boundary conditions (PBCs) are studied. The finite difference scheme (FDS) and the finite difference scheme with exact spectrum (FDSES) are used for the space discretization. The solution in the time is obtained analytically and numerically, using the method of lines and continuous and discrete Fourier methods.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Harijs Kalis
    • 1
    • 2
  • Sergejs Rogovs
    • 1
  • Aigars Gedroics
    • 1
  1. 1.Department of Physics and MathematicsUniversity of LatviaLatvia
  2. 2.Institute of Mathematics and InformaticsRīgaLatvija

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