Article

On the stability of an explicit difference scheme for hyperbolic equations with nonlocal boundary conditions

Feliksas IvanauskasVilnius University, Vilnius, LithuaniaYu. A. NovitskiVilnius University, Vilnius, LithuaniaMifodijus SapagovasVilnius University, Vilnius, Lithuania

2013en

ABI

Abstract

We consider the stability of an explicit finite-difference scheme for a linear hyperbolic equation with nonlocal integral boundary conditions. By studying the spectrum of the transition matrix of the explicit three-layer difference scheme, we obtain a sufficient condition for stability in a special norm.

Identifiers

DOI: 10.1134/s0012266113070070

Citations and references

Cited by 20 references

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