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
Annotatsiya
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.
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