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

PDF

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.

Download Citation

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.

PDF

Downloads

Download data is not yet available.

Most read articles in this journal

Jonas Vitkauskas, Artūras Štikonas, Relations between spectrum curves of discrete Sturm-Liouville problem with nonlocal boundary conditions and graph theory , Lietuvos matematikos rinkinys: Vol. 61 (2020): Ser. A
Jonas Vitkauskas, Artūras Štikonas, Relations between Spectrum Curves of Discrete Sturm-Liouville Problem with Nonlocal Boundary Conditions and Graph Theory. II , Lietuvos matematikos rinkinys: Vol. 62 (2021): Ser. A
Kristina Skučaitė-Bingelė, Artūras Štikonas, Investigation of the spectrum for Sturm–Liouville problems with a nonlocal boundary condition , Lietuvos matematikos rinkinys: Vol. 54 (2013): Ser. A
Gailė Paukštaitė, Artūras Štikonas, Nullspace of the m-th order discrete problem with nonlocal conditions , Lietuvos matematikos rinkinys: Vol. 57 (2016): Ser. A
Artūras Štikonas, Editorial Board and Table of Contents , Lietuvos matematikos rinkinys: Vol. 62 (2021): Ser. A
Agnė Skučaitė, Artūras Štikonas, Zeroes and poles of a characteristic function for Sturm–Liouville problem with nonlocal integral condition , Lietuvos matematikos rinkinys: Vol. 56 (2015): Ser. A
Jurij Novickij, Artūras Štikonas, On the equivalence of discrete Sturm–Liouville problem with nonlocal boundary conditions to the algebraic eigenvalue problem , Lietuvos matematikos rinkinys: Vol. 56 (2015): Ser. A
Artūras Štikonas, Editorial Board and Table of Contents , Lietuvos matematikos rinkinys: Vol. 60 (2019): Ser. A
Svetlana Roman, Artūras Štikonas, Linear ODE with nonlocal boundary conditions and Green’s functions for such problems , Lietuvos matematikos rinkinys: Vol. 51 (2010)
Kristina Skučaitė-Bingelė, Artūras Štikonas, Investigation of complex eigenvalues for a stationary problem with two-point nonlocal boundary condition , Lietuvos matematikos rinkinys: Vol. 52 (2011)

1 2 3 4 5 > >>