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Article information
2003 , Volume 8, ¹ 3, p.58-74
Zadorin A.I., Chekanov A.V.
Reduction of vector three-point scheme on the infinite interval to a scheme with a finite number of grid nodes
Three-point vector difference scheme on the infinite interval is considered. This scheme corresponds to approximation of elliptic equation in a strip. The method of reduction of such scheme to the scheme with a finite number of grid nodes is investigated.The method is based on the extraction of sets of solutions of difference equation, satisfying the limit conditions at infinity. The results of numerical experiments are included.
[full text] Classificator Msc2000:- *35J25 Boundary value problems for second-order, elliptic equations
- 65N06 Finite difference methods
Keywords: vector difference scheme, elliptic equation, existence, uniqueness, infinite interval, numerical experiments
Author(s):
Zadorin Aleksandr Ivanovich
Address: 644046, Russia, Omsk
Phone Office: (3812) 236739
E-mail: zadorin@iitam.omsk.net.ru
Chekanov Andrey Vyacheslavovich
Position: Student
Office: Omsk Branch of Institute of Mathematics SB RAS
Address: 644099, Russia, Omsk
Phone Office: (3812) 23-67-39
E-mail: andy@omskplast.com
Bibliography link:
Zadorin A.I., Chekanov A.V. Reduction of vector three-point scheme on the infinite interval to a scheme with a finite number of grid nodes // Computational technologies. 2003. V. 8. ¹ 3. P. 58-74
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