A new modification to homotopy perturbation method combined with Fourier transform for solving nonlinear Cauchy reaction diffusion equation

2014 ◽  
Vol 89 (1) ◽  
pp. 61-71 ◽  
Author(s):  
S S Nourazar ◽  
A Nazari-Golshan
Keyword(s):  
Fourier Transform ◽  
Diffusion Equation ◽  
Perturbation Method ◽  
Homotopy Perturbation Method ◽  
Reaction Diffusion ◽  
Reaction Diffusion Equation ◽  
Homotopy Perturbation

Computing the Fourier Transform via Homotopy Perturbation Method

2009 ◽  
Vol 64 (11) ◽  
pp. 671-675 ◽  
Author(s):  
Esmail Babolian ◽  
Jamshid Saeidian ◽  
Mahmood Paripour
Keyword(s):  
Fourier Transform ◽  
Perturbation Method ◽  
Homotopy Perturbation Method ◽  
Basic Properties ◽  
Homotopy Perturbation ◽  
The Fourier Transform

In this paper, the homotopy perturbation method (HPM) is applied to compute the Fourier transform (FT) of functions on R. The basic properties of the Fourier transform are again obtained by HPM and examples assuring the applicability of HPM are presented.

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