On the stability of a finite difference scheme with two weights for wave equation with nonlocal conditions

Jurij Novickij; Artūras Štikonas

doi:10.15388/LMR.A.2014.05

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.

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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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