Bhrawy, A. H.Hafez, R. M.Alzahrani, E. O.Baleanu, D.2019-12-162019-12-162015Cited References in Web of Science Core Collection: 601221-146Xhttps://cutt.ly/nrqiJMQAccession Number: WOS:000361859100004In 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 methodenUniversity for First-order hyperbolic equationsTwo-dimensional hyperbolic equationsCollocation methodGeneralized Laguerre-Gauss-Radau quadratureArticle