Seeking Primary Functions of Complete Differential with Six Variables

2015 ◽  
Vol 713-715 ◽  
pp. 1899-1902
Author(s):  
Yan Ge Huang ◽  
Wu Sheng Wang ◽  
Hua Ying Zhong
Keyword(s):  
Differential Quadrature ◽  
Quadrature Problem

On the basis of quadrature problem of function with two, three, four and five variables, this paper discuss quadrature problem of function with six variables. Firstly, we have expounded the method of differential quadrature problem. Finally, we solve the primary functions of a specific complete differential with six variables.

scholarly journals Differential Quadrature and Differential Transformation Methods in Buckling Analysis of Nanobeams

2019 ◽  
Vol 6 (1) ◽  
pp. 68-76 ◽  
Author(s):  
Subrat Kumar Jena ◽  
S. Chakraverty
Keyword(s):  
Boundary Conditions ◽  
Differential Quadrature Method ◽  
Nonlocal Parameter ◽  
Transformation Method ◽  
Nonlocal Theory ◽  
Buckling Analysis ◽  
Differential Quadrature ◽  
Load Parameter ◽  
Computationally Efficient ◽  
Differential Transformation

AbstractIn this paper, two computationally efficient techniques viz. Differential Quadrature Method (DQM) and Differential Transformation Method (DTM) have been used for buckling analysis of Euler-Bernoulli nanobeam incorporation with the nonlocal theory of Eringen. Complete procedures of both the methods along with their mathematical formulations are discussed, and MATLAB codes have been developed for both the methods to handle the boundary conditions. Various classical boundary conditions such as SS, CS, and CC have been considered for investigation. A comparative study for the convergence of DQM and DTM approaches are carried out, and the obtained results are also illustrated to demonstrate the effects of the nonlocal parameter, aspect ratio (L/h) and the boundary condition on the critical buckling load parameter.

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