Numerical Method for Three-Point Vector Difference Schemes on Infinite Interval

Numerical Method for Three-Point Vector Difference Schemes on Infinite Interval

Year:    2008

Author:    A. I. Zadorin, A. V. Chekanov

International Journal of Numerical Analysis and Modeling, Vol. 5 (2008), Iss. 2 : pp. 190–205

Abstract

A three-point vector difference scheme on a infinite interval is considered. Method of reduction of this scheme to a scheme with a finite number of nodes is proposed. Method is based on the extraction of sets of solutions of the difference equation, satisfying the limiting conditions at infinity. The method is applied for numerical solution of an elliptic singularly perturbed problem in a strip. Results of numerical experiments are discussed.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2008-IJNAM-806

International Journal of Numerical Analysis and Modeling, Vol. 5 (2008), Iss. 2 : pp. 190–205

Published online:    2008-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    16

Keywords:    difference scheme infinite interval transfer of boundary condition singular perturbation.

Author Details

A. I. Zadorin

A. V. Chekanov