Geodesic
Numerical solution of boundary value problems in unlimited area
Matematičeskoe modelirovanie, Tome 14 (2002) no. 11, pp. 10-22.

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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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E. A. Alshina; N. N. Kalitkin; S. L. Panchenko. Numerical solution of boundary value problems in unlimited area. Matematičeskoe modelirovanie, Tome 14 (2002) no. 11, pp. 10-22. http://geodesic.mathdoc.fr/item/MM_2002_14_11_a1/

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