Distributed optimal control of the viscous Burgers equation via a Legendre pseudo-spectral approach-Reference-Cited by-同舟云学术

Distributed optimal control of the viscous Burgers equation via a Legendre pseudo-spectral approach

Published:2015-11-12 Issue:12 Volume:39 Page:3350-3360
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math. Meth. Appl. Sci.

Author:

Sabeh Z.¹,Shamsi M.¹,Dehghan Mehdi¹

Affiliation:

1. Department of Applied Mathematics, Faculty of Mathematics and Computer Science; Amirkabir University of Technology; No. 424, Hafez Ave. Tehran Iran

Publisher

Wiley

Subject

General Engineering,General Mathematics

Link

http://onlinelibrary.wiley.com/wol1/doi/10.1002/mma.3779/fullpdf

Reference37 articles.

1. Taylor-Galerkin and Taylor-collocation methods for the numerical solutions of Burgers' equation using B-splines;Idris;Communications in Nonlinear Science and Numerical Simulation,2696

2. Mixed finite difference and Galerkin methods for solving Burgers equations using interpolating scaling functions;Dehghan;Mathematical Methods in the Applied Sciences,2014

3. An efficient computational method for the optimal control problem for the Burgers equation;Ismail;Mathematical and Computer Modelling,2006

4. Pointwise control of Burgers' equation - a numerical approach;Dean;Computers & Mathematics with Applications,1991

5. On global stabilization of Burgers' equation by boundary control;Miroslav;Systems & Control Letters,1999

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