Bhrawy, A. H.Hafez, R. M.Alzahrani, EbraheemBaleanu, DumitruAlzahrani, A. A.2017-04-202017-04-202015Bhrawy, 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), 918-934.1221-146Xhttp://hdl.handle.net/20.500.12416/1554In 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.eninfo:eu-repo/semantics/openAccessFirst-Order Hyperbolic EquationsTwo-Dimensional Hyperbolic EquationsCollocation MethodGeneralized Laguerre-Gauss-Radau QuadratureArticle607-8918934