An Explicit–Implicit Upwind Difference Splitting Scheme in Directions for a Mixed Boundary Control Problem for a Two-Dimensional Symmetric t-Hyperbolic System

An Explicit–Implicit Upwind Difference Splitting Scheme in Directions for a Mixed Boundary Control Problem for a Two-Dimensional Symmetric t-Hyperbolic System

In this paper, we introduce a numerical integration method for hyperbolic systems problems known as the splitting method, which serves as an effective tool for solving complex multidimensional problems in mathematical physics. The exponential stability of the upwind explicit–implicit difference sche...

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Bibliographic Details
Main Authors: Abdumauvlen Berdyshev, Rakhmatillo Aloev, Zhanars Abdiramanov, Mohinur Ovlayeva
Format: Article
Language:English
Published: MDPI AG 2023-10-01
Series:Symmetry
Subjects:
hyperbolic system
upwind difference scheme
Lyapunov stability
Online Access:https://www.mdpi.com/2073-8994/15/10/1863

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