scholarly journals Solving the Optimal Control of Linear Systems via Homotopy Perturbation Method

2012 ◽  
Vol 03 (01) ◽  
pp. 26-33 ◽  
Author(s):  
Fateme Ghomanjani ◽  
Sara Ghaderi ◽  
Mohammad Hadi Farahi
Keyword(s):  
Optimal Control ◽  
Perturbation Method ◽  
Linear Systems ◽  
Homotopy Perturbation Method ◽  
Homotopy Perturbation ◽  
Control Of Linear Systems

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.

scholarly journals Application of Homotopy Perturbation Method for Fuzzy Linear Systems and Comparison with Adomian’s Decomposition Method

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
H. Saberi Najafi ◽  
S. A. Edalatpanah ◽  
A. H. Refahi Sheikhani
Keyword(s):  
Perturbation Method ◽  
Linear Systems ◽  
Numerical Algorithm ◽  
Decomposition Method ◽  
Homotopy Perturbation Method ◽  
Convergence Properties ◽  
Homotopy Perturbation ◽  
Adomian’S Decomposition Method ◽  
Fuzzy Linear Systems

We present an efficient numerical algorithm for solution of the fuzzy linear systems (FLS) based on He’s homotopy perturbation method (HPM). Moreover, the convergence properties of the proposed method have been analyzed and also comparisons are made between Adomian’s decomposition method (ADM) and the proposed method. The results reveal that our method is effective and simple.

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