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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국산업응용수학회 JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS Journal of the Korean Society for Industrial and Applied Mathematics Vol.18 No.3
- 발행연도
- 2014.9
- 수록면
- 269 - 277 (9page)
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초록· 키워드
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A numerical scheme is proposed to control the BBMB (Benjamin-Bona-Mahony-Burgers) equation, and the scheme consists of three steps. Firstly, BBMB equation is converted to a finite set of nonlinear ordinary differential equations by the quadratic B-spline finite element method in spatial. Secondly, the controller is designed based on the linear quadratic regulator (LQR) theory; Finally, the system of the closed loop compensator obtained on the basis of the previous two steps is solved by the backward Euler method. The controlled numerical solutions are obtained for various values of parameters and different initial conditions. Numerical simulations show that the scheme is efficient and feasible.
목차
ABSTRACT
1. INTRODUCTION
2. FINITE ELEMENT APPROXIMATION
3. FEEDBACK CONTROL DESIGN
4. COMPUTATIONAL EXPERIMENTS
REFERENCES
참고문헌 (23)
참고문헌 신청
1. [학술지(정기간행물)] - T.B. Benjamin / 1972 / Model equations for long waves in nonlinear dispersive systems / Philosophical Transactions of the Royal Society of London 272 (1220) : 47 ~ 78
2. [학술지(정기간행물)] - D.J. Korteweg / 1895 / On the change of form of long waves advancing in a rectangular canal and on a new type of long stationary waves / Philosophical Magazine 39 : 422 ~ 443
3. [학술지(정기간행물)] - M.A. Raupp / 1975 / Galerkin methods applied to the Benjamin-Bona-Mahony equation / Boletim da Sociedade Brazilian Mathematical 6 (1) : 65 ~ 77
4. [학술지(정기간행물)] - L.Wahlbin / 1975 / Error estimates for a Galerkin mehtod for a class of model equations for long waves / Numerische Mathematik 23 (4) : 289 ~ 303
5. [학술지(정기간행물)] - R.E. Ewing / 1978 / Time-stepping Galerkin methods for nonlinear Sobolev partial differential equation / SIAM Journal on Numerical Analysis 15 (5) : 1125 ~ 1150
2. [학술지(정기간행물)] - D.J. Korteweg / 1895 / On the change of form of long waves advancing in a rectangular canal and on a new type of long stationary waves / Philosophical Magazine 39 : 422 ~ 443
3. [학술지(정기간행물)] - M.A. Raupp / 1975 / Galerkin methods applied to the Benjamin-Bona-Mahony equation / Boletim da Sociedade Brazilian Mathematical 6 (1) : 65 ~ 77
4. [학술지(정기간행물)] - L.Wahlbin / 1975 / Error estimates for a Galerkin mehtod for a class of model equations for long waves / Numerische Mathematik 23 (4) : 289 ~ 303
5. [학술지(정기간행물)] - R.E. Ewing / 1978 / Time-stepping Galerkin methods for nonlinear Sobolev partial differential equation / SIAM Journal on Numerical Analysis 15 (5) : 1125 ~ 1150
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UCI(KEPA) : I410-ECN-0101-2015-400-002538222