scholarly journals Modified homotopy perturbation method for optimal control problems using the Padé approximant

2016 ◽  
Vol 40 (15-16) ◽  
pp. 7062-7081 ◽  
Author(s):  
Soheil Ganjefar ◽  
Sara Rezaei
Keyword(s):  
Optimal Control ◽  
Perturbation Method ◽  
Homotopy Perturbation Method ◽  
Optimal Control Problems ◽  
Padé Approximant ◽  
Control Problems ◽  
Homotopy Perturbation ◽  
Pade Approximant

Optimal control homotopy perturbation method for cancer model

2019 ◽  
Vol 12 (03) ◽  
pp. 1950027 ◽  
Author(s):  
Malihe Najafi ◽  
Hadi Basirzadeh
Keyword(s):  
Mathematical Modeling ◽  
Optimal Control ◽  
Perturbation Method ◽  
Cancer Immunotherapy ◽  
Homotopy Perturbation Method ◽  
Numerical Solutions ◽  
Cancer Model ◽  
Homotopy Perturbation

In this paper, we introduced the optimal control homotopy perturbation method (OCHPM) by using the homotopy perturbation method (HPM). Every one, by using of the proposed method, can obtain numerical solutions of mathematical modeling for cancer-immunotherapy. In this paper, in order to prove the preciseness and efficiency of the OCHPM method, we compared the obtained numerical solutions with HPM. The results obtained showed that the OCHPM method is powerful to generate the numerical solutions for some therapeutic models.

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