Solution of a singularly perturbed nonstationary fourth-order boundary-value problem
Abstract
A difference scheme is constructed by the method of lines for a nonstationary boundary-value problem for a fourth-order equation in the space coordinate. The uniform convergence with respect to a small parameter, of the solution of the linearization scheme to a solution of the original problem is proven. 8 refs.
- Authors:
-
- Kiev State Univ. (Ukraine)
- Publication Date:
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 212887
- Resource Type:
- Journal Article
- Journal Name:
- Journal of Mathematical Sciences
- Additional Journal Information:
- Journal Volume: 70; Journal Issue: 1; Other Information: PBD: 5 Jun 1994; TN: Translated from Vychislitel`naya i Prikladnaya Matematika; 70, 3-11(1990)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 99 MATHEMATICS, COMPUTERS, INFORMATION SCIENCE, MANAGEMENT, LAW, MISCELLANEOUS; BOUNDARY-VALUE PROBLEMS; NUMERICAL SOLUTION; DIFFERENTIAL EQUATIONS; CONVERGENCE
Citation Formats
Makarov, V L, and Guminskii, V V. Solution of a singularly perturbed nonstationary fourth-order boundary-value problem. United States: N. p., 1994.
Web. doi:10.1007/BF02110998.
Makarov, V L, & Guminskii, V V. Solution of a singularly perturbed nonstationary fourth-order boundary-value problem. United States. https://doi.org/10.1007/BF02110998
Makarov, V L, and Guminskii, V V. 1994.
"Solution of a singularly perturbed nonstationary fourth-order boundary-value problem". United States. https://doi.org/10.1007/BF02110998.
@article{osti_212887,
title = {Solution of a singularly perturbed nonstationary fourth-order boundary-value problem},
author = {Makarov, V L and Guminskii, V V},
abstractNote = {A difference scheme is constructed by the method of lines for a nonstationary boundary-value problem for a fourth-order equation in the space coordinate. The uniform convergence with respect to a small parameter, of the solution of the linearization scheme to a solution of the original problem is proven. 8 refs.},
doi = {10.1007/BF02110998},
url = {https://www.osti.gov/biblio/212887},
journal = {Journal of Mathematical Sciences},
number = 1,
volume = 70,
place = {United States},
year = {Sun Jun 05 00:00:00 EDT 1994},
month = {Sun Jun 05 00:00:00 EDT 1994}
}
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