On the stability of a finite difference scheme with two weights for wave equation with nonlocal conditions
Articles
Jurij Novickij
Vilnius University
Artūras Štikonas
Vilnius University
http://orcid.org/0000-0002-5872-5501
Published 2014-12-22
https://doi.org/10.15388/LMR.A.2014.05
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Keywords

integral conditions
hyperbolic equation
weighted difference scheme
stability region

How to Cite

Novickij J. and Štikonas A. (2014) “On the stability of a finite difference scheme with two weights for wave equation with nonlocal conditions”, Lietuvos matematikos rinkinys, 55(A), pp. 22-27. doi: 10.15388/LMR.A.2014.05.

Abstract

We consider the stability of a finite difference scheme with two weight param-eters for a hyperbolic equation with nonlocal integral boundary conditions. We obtain stability region in the complex plane by investigating the characteristic equation of a difference scheme using the root criterion.

The research was partially supported by the Lithuanian State Science and Studies Foundation, grant MIP-047/2014.

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