Email this article On The Stability of the Disturbance Algorithm for a Semi-Discrete Scheme of Solution of an Evolutionary Equation in the Banach Space
- Authors: Gulua D.1
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Affiliations:
- Georgian Technical University
- Issue: Vol 218, No 6 (2016)
- Pages: 770-777
- Section: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/238318
- DOI: https://doi.org/10.1007/s10958-016-3063-z
- ID: 238318
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Abstract
Abstract
A purely implicit three-layer semi-discrete scheme of second-order approximation is considered in the Banach space. The three-layer semi-discrete scheme is reduced by means of the disturbance algorithm to two two-layer schemes. Using the solutions of these schemes, we construct an approximate solution of the initial problem. The stability of the constructed scheme is proved.
About the authors
D. Gulua
Georgian Technical University
Author for correspondence.
Email: d_gulua@gtu.ge
Georgia, Tbilisi
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