scholarly journals Differential quadrature method (DQM) and Boubaker Polynomials Expansion Scheme (BPES) for efficient computation of the eigenvalues of fourth-order Sturm–Liouville problems

2012 ◽  
Vol 36 (1) ◽  
pp. 158-167 ◽  
Author(s):  
Uğur Yücel ◽  
Karem Boubaker
Keyword(s):  
Fourth Order ◽  
Differential Quadrature Method ◽  
Differential Quadrature ◽  
Quadrature Method ◽  
Efficient Computation ◽  
Boubaker Polynomials ◽  
Sturm Liouville ◽  
Expansion Scheme

scholarly journals Comparative Analysis of Free Optical Vibration of Lamination Composite Optical Beams Using the Boubaker Polynomials Expansion Scheme and the Differential Quadrature Method

ISRN Optics ◽  
2012 ◽  
Vol 2012 ◽  
pp. 1-5
Author(s):  
Ugur Yücel ◽  
Emna Gargouri-Ellouze ◽  
Karem Boubaker ◽  
Gökmen Atlihan ◽  
Hasan Çallioglu ◽  
...  
Keyword(s):  
Numerical Solutions ◽  
Differential Quadrature Method ◽  
Initial Boundary ◽  
Differential Quadrature ◽  
Quadrature Method ◽  
Initial Boundary Value Problems ◽  
Boubaker Polynomials ◽  
Optical Beams ◽  
Initial Boundary Value ◽  
Expansion Scheme

The effects of stacking sequences of composite laminated optical beams on free vibration frequencies are investigated using two methods: the Boubaker Polynomials Expansion Scheme (pbes) and the Differential Quadrature Method (dqm). In the last decades, these two techniques have been separately performed for obtaining accurate numerical solutions to several initial boundary value problems (Vo et al. 2010, Li et al. 2008, Chen 2003, Hu et al. 2008, Karami et al. 2003, Malekzadeh et al. 2004, Khare et al. 2004, Della and Shu 2005, Ramtekkar et al. 2002, Adam 2003). Conjointly yielded results are compared and discussed.

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