A numerical approach to an optimal boundary control of the viscous Burgers’ equation

The dynamics of the forced Burgers’ equation subject to Dirichlet boundary conditions using boundary control is analyzed with the objective of minimizing the distance between the final state function and target profile along with the energy of the control. An efficient method is suggested to solve t...

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Vydáno v:	Applied mathematics and computation Ročník 210; číslo 1; s. 126 - 135
Hlavní autoři:	Kucuk, Ismail, Sadek, Ibrahim
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Amsterdam Elsevier Inc 01.04.2009 Elsevier
Témata:	Boundary control Burgers’ equation Calculus of variations and optimal control Control parametrization Exact sciences and technology Global analysis, analysis on manifolds Mathematical analysis Mathematics Modal expansion technique Nonlinear partial differential equation Numerical analysis Numerical analysis. Scientific computation Numerical methods in mathematical programming, optimization and calculus of variations Optimal control Partial differential equations Sciences and techniques of general use Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds Modal expansion technique Burgers’ equation Boundary control Control parametrization Nonlinear partial differential equation Optimal control Differential equation Optimization method Dynamical system Boundary condition Parameterization Partial differential equation Non linear equation Mathematical programming Initial value problem Burgers equation Runge Kutta method Fourier series Fourier coefficient Extrapolation Numerical analysis Boundary value problem Multistep method Applied mathematics Optimal solution Numerical simulation Burgers' equation
ISSN:	0096-3003, 1873-5649
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