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Title: 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:
;  [1]
  1. 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}
}