A Chebyshev-Gauss-Radau Scheme For Nonlinear Hyperbolic System Of First Order
Date
2014
Journal Title
Journal ISSN
Volume Title
Type
Article
Publisher
NATURAL SCIENCES PUBLISHING CORP-NSP
Series Info
APPLIED MATHEMATICS & INFORMATION SCIENCES;Volume: 8 Issue: 2 Pages: 535-544
Scientific Journal Rankings
Abstract
A numerical approximation of the initial-boundary system of nonlinear hyperbolic equations based on spectral collocation method is presented in this article. A Chebyshev-Gauss-Radau collocation (C-GR-C) method in combination with the implicit Runge-Kutta scheme are employed to obtain highly accurate approximations to the mentioned problem. The collocation points are the Chebyshev interpolation nodes. This approach reduces this problem to solve system of nonlinear ordinary differential equations which are far easier to be solved. Indeed, by selecting a limited number of collocation nodes, we obtain an accurate results. The numerical examples demonstrate the accuracy, efficiency, and versatility of the method.
Description
Accession Number: WOS:000331386900011
Keywords
University for System of nonlinear hyperbolic equations, Collocation method, Chebyshev-Gauss-Radau quadrature, Implicit Runge-Kutta method, SPECTRAL GALERKIN METHOD, BOUNDARY-VALUE-PROBLEMS, FINITE-ELEMENT METHODS, PARTIAL-DIFFERENTIAL-EQUATIONS, INTEGRAL-EQUATIONS, COLLOCATION METHOD, INTEGRODIFFERENTIAL EQUATIONS, POLYNOMIAL SOLUTIONS, VISCOELASTICITY, DOMAINS
Citation
Cited References in Web of Science Core Collection: 59