Abstract:
The new approach to solution of boundary value problems in unlimited area is developed. The use of quasi-uniform grids allows solving such problems, stating a boundary condition directly on infinity. Various variants of quasiequidistant grids are constructed and their properties are investigated. Difference schemes ensuring consistency on a grid with infinite interval are developed. The offered approach is successfully tested on a heat conduction problem in semi-infinite area and for evaluation of linear differential operators spectra.
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