Iterated defect correction for the efficient solution of stiff systems of ordinary differential equations

1977 ◽  
Vol 17 (2) ◽  
pp. 146-159 ◽  
Author(s):  
Reinhard Frank ◽  
Christoph W. Ueberhuber
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Efficient Solution ◽  
Defect Correction ◽  
Stiff Systems ◽  
Iterated Defect Correction

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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