Name
Title | ||
|---|---|---|
A Numerical Method Based On A Bilinear Pseudo-Spectral Method To Solve The Convection-Diffusion Optimal Control Problems |
Abstract | ||
|---|---|---|
In this paper, we consider the bilinear pseudo-spectral method for solving convection-diffusion optimal control problems (OCPs). First, we convert the optimal control problem to a partial differential equation (PDE) system including the state equation of the original problem and the adjoint equation which must be solved. Next, we approximate the coupled system by a bilinear pseudo-spectral method based on Chebyshev polynomials and obtain a coupled Sylvester system and then use some iterative and direct methods to solve it. We used bilinear pseudo-spectral method to have simplicity in implementation and Chebyshev polynomials to have accuracy and stability. Robustness and accuracy of the method are verified by solving some numerical experiments. |
Year | DOI | Venue |
|---|---|---|
2021 | 10.1080/00207160.2020.1723563 | INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS |
Keywords | DocType | Volume |
Convection-diffusion equation, optimal control, bilinear pseudo-spectral method, coupled sylvester system, Chebyshev polynomials | Journal | 98 |
Issue | ISSN | Citations |
1 | 0020-7160 | 0 |
PageRank | References | Authors |
0.34 | 0 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Fereshteh Samadi | 1 | 0 | 0.34 |
| Aghileh Heydari | 2 | 20 | 3.58 |
| Effati Sohrab | 3 | 276 | 30.31 |