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Volume 5, Issue 2
Numerical Method for Three-Point Vector Difference Schemes on Infinite Interval

A. I. Zadorin & A. V. Chekanov

Int. J. Numer. Anal. Mod., 5 (2008), pp. 190-205.

Published online: 2008-05

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  • 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.

  • Keywords

difference scheme, infinite interval, transfer of boundary condition, singular perturbation.

  • AMS Subject Headings

65N06, 65N22, 65N45

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-5-190, author = {Zadorin , A. I. and Chekanov , A. V.}, title = {Numerical Method for Three-Point Vector Difference Schemes on Infinite Interval}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2008}, volume = {5}, number = {2}, pages = {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.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/806.html} }
TY - JOUR T1 - Numerical Method for Three-Point Vector Difference Schemes on Infinite Interval AU - Zadorin , A. I. AU - Chekanov , A. V. JO - International Journal of Numerical Analysis and Modeling VL - 2 SP - 190 EP - 205 PY - 2008 DA - 2008/05 SN - 5 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/806.html KW - difference scheme, infinite interval, transfer of boundary condition, singular perturbation. AB -

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.

A. I. Zadorin & A. V. Chekanov. (1970). Numerical Method for Three-Point Vector Difference Schemes on Infinite Interval. International Journal of Numerical Analysis and Modeling. 5 (2). 190-205. doi:
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