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http://dx.doi.org/10.12941/jksiam.2015.19.123

NUMERICAL SOLUTIONS OF BURGERS EQUATION BY REDUCED-ORDER MODELING BASED ON PSEUDO-SPECTRAL COLLOCATION METHOD  

SEO, JEONG-KWEON (DEPARTMENT OF MATHEMATICS, CHONNAM NATIONAL UNIVERSITY)
SHIN, BYEONG-CHUN (DEPARTMENT OF MATHEMATICS, CHONNAM NATIONAL UNIVERSITY)
Publication Information
Journal of the Korean Society for Industrial and Applied Mathematics / v.19, no.2, 2015 , pp. 123-135 More about this Journal
Abstract
In this paper, a reduced-order modeling(ROM) of Burgers equations is studied based on pseudo-spectral collocation method. A ROM basis is obtained by the proper orthogonal decomposition(POD). Crank-Nicolson scheme is applied in time discretization and the pseudo-spectral element collocation method is adopted to solve linearlized equation based on the Newton method in spatial discretization. We deliver POD-based algorithm and present some numerical experiments to show the efficiency of our proposed method.
Keywords
Reduced order modeling; Pseudo-spectral method; Burgers' equation;
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