Generalized Laguerre-Gauss-Radau scheme for first order hyperbolic equations on semi-infinite domains
Date
2015
Journal Title
Journal ISSN
Volume Title
Publisher
Editura Academiei Romane
Open Access Color
OpenAIRE Downloads
OpenAIRE Views
Abstract
In this article, we develop a numerical approximation for first-order hyperbolic equations on semi-infinite domains by using a spectral collocation scheme. First, we propose the generalized Laguerre-Gauss-Radau collocation scheme for both spatial and temporal discretizations. This in turn reduces the problem to the obtaining of a system of algebraic equations. Second, we use a Newton iteration technique to solve it. Finally, the obtained results are compared with the exact solutions, highlighting the performance of the proposed numerical method.
Description
Keywords
First-Order Hyperbolic Equations, Two-Dimensional Hyperbolic Equations, Collocation Method, Generalized Laguerre-Gauss-Radau Quadrature
Turkish CoHE Thesis Center URL
Fields of Science
Citation
Bhrawy, A.H...et al. (2015). Generalized Laguerre-Gauss-Radau scheme for first order hyperbolic equations on semi-infinite domains. Romanian Journal of Physics, 60(7-8), 918-934.
WoS Q
Scopus Q
Source
Romanian Journal of Physics
Volume
60
Issue
7-8
Start Page
918
End Page
934