A numerical solution of Blasius equation by Adomian’s decomposition method and comparison with homotopy perturbation method

2007 ◽  
Vol 31 (1) ◽  
pp. 257-260 ◽  
Author(s):  
S. Abbasbandy
Keyword(s):  
Perturbation Method ◽  
Numerical Solution ◽  
Decomposition Method ◽  
Homotopy Perturbation Method ◽  
Homotopy Perturbation ◽  
Adomian’S Decomposition Method ◽  
Blasius Equation

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.

Solution for Celebrated Blasius Problem Using Homotopy Perturbation Method

2020 ◽  
Vol 12 (2) ◽  
pp. 284-287
Author(s):  
Monika Rani ◽  
Vikramjeet Singh ◽  
Rakesh Goyal
Keyword(s):  
Differential Equation ◽  
Approximate Solution ◽  
Perturbation Method ◽  
High Speed ◽  
Homotopy Perturbation Method ◽  
Initial Slope ◽  
Moving Wall ◽  
Homotopy Perturbation ◽  
Blasius Problem ◽  
Blasius Equation

In this manuscript, we have analyzed Celebrated Blasius boundary problem with moving wall or high speed 2D laminar viscous flow over gasifying flat plate. To find the way out of this nonlinear differential equation, a version of semi-analytical homotopy perturbation method has been applied. It has been observed that the precision of the solution would be achieved with increasing approximations. On comparison with literature, our solution has been proven highly accurate and valid with faster rate of convergence. It has been revealed that the second order approximate solution of Blasius equation in terms of initial slope is obtained as 0.33315 reducing the error by 0.32%.

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