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Abstract
In this paper we investigate three‐level difference schemes on non‐uniform grids in time. The a priori estimates of stability with respect to the initial data and the right‐hand side are obtained. New schemes of the raised order of approximation for wave equations are constructed and investigated.
Straipsnyje nagrinejamos trisluoksnes baigtiniu skirtumu schemos su netolygiu laikinu žingsniu. Gauti aprioriniai stabilumo iverčiai pradiniu duomenu ir dešiniosios puses atžvilgiu. Pasiūlytos naujos aukštesnes aproksimacijos eiles baigtiniu skirtumu schemos vienmatei bangos lygčiai. Pateikti skaitinio eksperimento rezultatai.
Notes
The author wish to thank Prof. P. Matus for the statement of the problem and useful comments