1
Department of Mathematics,Payame Noor University, P.O.Box 19395-3697, Tehran, Iran
2
Department of Mathematics, Iran University of science and Technology, Tehran,Iran. Department of Mathematical Sciences,University of South Africa, UNISA 0003, South Africa
In this paper, we solve Hamilton-Jacobi-Bellman (HJB) equations arising in optimal control problems using Homotopy Perturbation Transform Method (HPTM). The proposed method is a combined form of the Laplace Transformation Method with the Homotopy Perturbation Method to produce a highly effective method to handle many problems. Applying the HPTM, the solution procedure becomes easier, simpler and more straightforward. Some illustrative examples are given to demonstrate the simplicity and efficiency of the proposed method.
Alipour, M., Soltanian, F., Vahidi, J. & Ghasempour, S. (2019). Solving The Optimal Control Problems Using Homotopy Perturbation Transform Method. International Journal of Nonlinear Analysis and Applications, 10(Special Issue ( Nonlinear Analysis in Engineering and Sciences)), 25–38. https://doi.org/10.22075/ijnaa.2019.4394
MLA
Alipour, M., Soltanian, F., Vahidi, J., & Ghasempour, S. "Solving The Optimal Control Problems Using Homotopy Perturbation Transform Method", International Journal of Nonlinear Analysis and Applications, 10, Special Issue ( Nonlinear Analysis in Engineering and Sciences), 2019, 25–38. doi: 10.22075/ijnaa.2019.4394
HARVARD
Alipour, M., Soltanian, F., Vahidi, J., & Ghasempour, S. (2019). 'Solving The Optimal Control Problems Using Homotopy Perturbation Transform Method', International Journal of Nonlinear Analysis and Applications, 10(Special Issue ( Nonlinear Analysis in Engineering and Sciences)), pp. 25–38. doi: 10.22075/ijnaa.2019.4394
CHICAGO
Alipour, M., Soltanian, F., Vahidi, J. & Ghasempour, S., "Solving The Optimal Control Problems Using Homotopy Perturbation Transform Method." International Journal of Nonlinear Analysis and Applications, 10 Special Issue ( Nonlinear Analysis in Engineering and Sciences) (2019): 25–38, doi: 10.22075/ijnaa.2019.4394
VANCOUVER
Alipour M., Soltanian F., Vahidi J., Ghasempour S. Solving The Optimal Control Problems Using Homotopy Perturbation Transform Method. IJNAA. 2019;10(Special Issue ( Nonlinear Analysis in Engineering and Sciences)):25–38. doi: 10.22075/ijnaa.2019.4394
International Journal of Nonlinear Analysis and Applications