Analytical modeling of hyporheic flow for in-stream bedforms: Perturbation method and implementation

2019 ◽  
Vol 111 ◽  
pp. 375-385 ◽  
Author(s):  
Sven Frei ◽  
Morvarid Azizian ◽  
Stanley B. Grant ◽  
Vitaly A. Zlotnik ◽  
Daniel Toundykov
2018 ◽  
Vol 49 (5) ◽  
pp. 385-394 ◽  
Author(s):  
Najlawi Bilel ◽  
Nejlaoui Mohamed

2013 ◽  
Vol 1 (1) ◽  
pp. 25-37
Author(s):  
Ahmed A. Khidir

In this study, a combination of the hybrid Chebyshev spectral technique and the homotopy perturbation method is used to construct an iteration algorithm for solving nonlinear boundary value problems. Test problems are solved in order to demonstrate the efficiency, accuracy and reliability of the new technique and comparisons are made between the obtained results and exact solutions. The results demonstrate that the new spectral homotopy perturbation method is more efficient and converges faster than the standard homotopy analysis method. The methodology presented in the work is useful for solving the BVPs consisting of more than one differential equation in bounded domains. 


2005 ◽  
Author(s):  
Paul A. Durbin ◽  
John K. Eaton ◽  
Greg Laskowski ◽  
Amanda Vicharelli

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