Efficient approximate solution methods for the multi-commodity capacitated multi-facility Weber problem

2012 ◽  
Vol 39 (2) ◽  
pp. 225-237 ◽  
Author(s):  
M. Hakan Akyüz ◽  
Temel Öncan ◽  
İ. Kuban Altınel
Keyword(s):  
Approximate Solution ◽  
Weber Problem ◽  
Solution Methods

Approximate solution methods for the capacitated multi-facility Weber problem

2013 ◽  
Vol 45 (1) ◽  
pp. 97-120 ◽  
Author(s):  
Burak Boyaci ◽  
İ. Kuban Altinel ◽  
Necat Aras
Keyword(s):  
Approximate Solution ◽  
Weber Problem ◽  
Solution Methods

scholarly journals Ninety years of Duffing’s equation

2013 ◽  
Vol 40 (1) ◽  
pp. 49-63 ◽  
Author(s):  
Livija Cveticanin
Keyword(s):  
Exact Solution ◽  
Approximate Solution ◽  
Elliptic Functions ◽  
Jacobi Elliptic Functions ◽  
Duffing's Equation ◽  
Homotopy Perturbation ◽  
Duffing’S Equation ◽  
Solution Methods

In the paper the origin of the so named ?Duffing?s equation? is shown. The author?s generalization of the equation, her published papers dealing with Duffing?s equation and some of the solution methods are presented. Three characteristic approximate solution procedures based on the exact solution of the strong cubic Duffing?s equation are shown. Using the Jacobi elliptic functions the elliptic-Krylov-Bogolubov (EKB), the homotopy perturbation and the elliptic-Galerkin (EG) methods are described. The methods are compared. The advantages and the disadvantages of the methods are discussed.

Methods for Solving of the Aircraft Landing Problem. II. Approximate Solution Methods

2019 ◽  
Vol 80 (8) ◽  
pp. 1502-1518 ◽  
Author(s):  
G. S. Veresnikov ◽  
N. A. Egorov ◽  
E. L. Kulida ◽  
V. G. Lebedev
Keyword(s):  
Approximate Solution ◽  
Aircraft Landing ◽  
Solution Methods
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