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

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