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Locally one-dimensional difference scheme for a pseudoparabolic equation with nonlocal conditions

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Abstract

We study a two-dimensional linear pseudoparabolic equation with nonlocal integral boundary conditions in one coordinate direction and use a locally one-dimensional method for solving this problem. We prove the stability of a finite-difference scheme based on the structure of spectrum of the difference operator with nonlocal conditions.

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Authors and Affiliations

  1. Institute of Mathematics and Informatics, Vilnius University, Akademijos 4, LT-08663, Vilnius, Lithuania

    Justina Jachimavičienė & Mifodijus Sapagovas

Authors
  1. Justina Jachimavičienė
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  2. Mifodijus Sapagovas
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Corresponding author

Correspondence to Justina Jachimavičienė.

Additional information

This research was funded by a grant (No. MIP-051/2011) from the Research Council of Lithuania.

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Jachimavičienė, J., Sapagovas, M. Locally one-dimensional difference scheme for a pseudoparabolic equation with nonlocal conditions. Lith Math J 52, 53–61 (2012). https://doi.org/10.1007/s10986-012-9155-7

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  • DOI: https://doi.org/10.1007/s10986-012-9155-7

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