Analytical solution of time-fractional Navier–Stokes equation in polar coordinate by homotopy perturbation method

2010 ◽  
Vol 26 (1) ◽  
pp. 117-124 ◽  
Author(s):  
Z.Z. Ganji ◽  
D.D. Ganji ◽  
Ammar D. Ganji ◽  
M. Rostamian
Keyword(s):  
Analytical Solution ◽  
Perturbation Method ◽  
Stokes Equation ◽  
Homotopy Perturbation Method ◽  
Homotopy Perturbation ◽  
Polar Coordinate

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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