Geodesic
Reduction of a three-point difference scheme on the infinite interval to a~scheme with a~finite number of grid nodes
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 5 (2002) no. 2, pp. 149-161

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A three-point difference scheme with an infinite number of grid nodes is considered. The method of reduction of such scheme to the scheme with a finite number of grid nodes is investigated. This method is based on the extraction of a set of solutions satisfying the limit conditions on infinity. The results of numerical experiments are discussed. 
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     author = {A. I. Zadorin and A. V. Chekanov},
     title = {Reduction of a three-point difference scheme on the infinite interval to a~scheme with a~finite number of grid nodes},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
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     url = {http://geodesic.mathdoc.fr/item/SJVM_2002_5_2_a4/}
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A. I. Zadorin; A. V. Chekanov. Reduction of a three-point difference scheme on the infinite interval to a~scheme with a~finite number of grid nodes. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 5 (2002) no. 2, pp. 149-161. http://geodesic.mathdoc.fr/item/SJVM_2002_5_2_a4/