GENERALIZED LAGUERRE-GAUSS-RADAU SCHEME FOR FIRST ORDER HYPERBOLIC EQUATIONS ON SEMI-INFINITE DOMAINS
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Date
2015
Authors
Bhrawy, A. H.
Hafez, R. M.
Alzahrani, E. O.
Baleanu, D.
Journal Title
Journal ISSN
Volume Title
Type
Article
Publisher
EDITURA ACAD ROMANE
Series Info
ROMANIAN JOURNAL OF PHYSICS;Volume: 60 Issue: 7-8 Pages: 918-934
Doi
Scientific Journal Rankings
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
Accession Number: WOS:000361859100004
Keywords
University for First-order hyperbolic equations, Two-dimensional hyperbolic equations, Collocation method, Generalized Laguerre-Gauss-Radau quadrature
Citation
Cited References in Web of Science Core Collection: 60