scholarly journals Analytical Solution of Non Linear Problems in Homogeneous Reactions Occur in the Mass-Transfer Boundary Layer: Homotopy Perturbation Method

2021 ◽  
pp. ArticleID:210644
Author(s):  
Rajagopal Swaminathan ◽  
Keyword(s):  
Boundary Layer ◽  
Mass Transfer ◽  
Analytical Solution ◽  
Perturbation Method ◽  
Homotopy Perturbation Method ◽  
Homotopy Perturbation ◽  
Non Linear ◽  
Linear Problems ◽  
Homogeneous Reactions

scholarly journals The study of heat transfer phenomena by using modified homotopy perturbation method coupled by Laplace transform

2020 ◽  
Vol 24 (2 Part B) ◽  
pp. 1105-1115
Author(s):  
Uriel Filobello-Nino ◽  
Hector Vazquez-Leal ◽  
Agustin Herrera-May ◽  
Roberto Ambrosio-Lazaro ◽  
Victor Jimenez-Fernandez ◽  
...  
Keyword(s):  
Heat Transfer ◽  
Differential Equation ◽  
Laplace Transform ◽  
Perturbation Method ◽  
Homotopy Perturbation Method ◽  
Homotopy Perturbation ◽  
Non Linear ◽  
Linear Problems ◽  
Linear Differential

In this paper, we present modified homotopy perturbation method coupled by Laplace transform to solve non-linear problems. As case study modified homotopy perturbation method coupled by Laplace transform is employed in order to obtain an approximate solution for the non-linear differential equation that describes the steady-state of a heat 1-D flow. The comparison between approximate and exact solutions shows the practical potentiality of the method.

Application of He’s Homotopy Perturbation Method to Stiff Systems of Ordinary Differential Equations

2008 ◽  
Vol 63 (1-2) ◽  
pp. 19-23 ◽  
Author(s):  
Mohammad Taghi Darvishi ◽  
Farzad Khani
Keyword(s):  
Analytical Solution ◽  
Differential Equations ◽  
Perturbation Method ◽  
Ordinary Differential Equations ◽  
Homotopy Perturbation Method ◽  
Nonlinear Ordinary Differential Equations ◽  
Stiff Systems ◽  
Homotopy Perturbation ◽  
Linear And Nonlinear

We propose He’s homotopy perturbation method (HPM) to solve stiff systems of ordinary differential equations. This method is very simple to be implemented. HPM is employed to compute an approximation or analytical solution of the stiff systems of linear and nonlinear ordinary differential equations.

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