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Generalized Laguerre-Gauss-Radau scheme for first order hyperbolic equations on semi-infinite domains

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2015

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Editura Academiei Romane

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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.

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First-Order Hyperbolic Equations, Two-Dimensional Hyperbolic Equations, Collocation Method, Generalized Laguerre-Gauss-Radau Quadrature

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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.

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Romanian Journal of Physics

Volume

60

Issue

7-8

Start Page

918

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934