Random vibrations: A spectral method for linear and nonlinear structures

1987 ◽  
Vol 2 (4) ◽  
pp. 219
Keyword(s):  
Spectral Method ◽  
Nonlinear Structures ◽  
Random Vibrations ◽  
Linear And Nonlinear

Wave propagation in linear and nonlinear structures

1998 ◽  
Vol 113 (2-4) ◽  
pp. 346-365 ◽  
Author(s):  
E. Lidorikis ◽  
K. Busch ◽  
Qiming Li ◽  
C.T. Chan ◽  
C.M. Soukoulis
Keyword(s):  
Wave Propagation ◽  
Nonlinear Structures ◽  
Linear And Nonlinear

scholarly journals A CHEBYSHEV PSEUDO-SPECTRAL METHOD FOR SOLVING FRACTIONAL-ORDER INTEGRO-DIFFERENTIAL EQUATIONS

2010 ◽  
Vol 51 (4) ◽  
pp. 464-475 ◽  
Author(s):  
N. H. SWEILAM ◽  
M. M. KHADER
Keyword(s):  
Differential Equations ◽  
Spectral Method ◽  
Fractional Order ◽  
Algebraic Equations ◽  
Computationally Efficient ◽  
Volterra Type ◽  
Nonlinear Algebraic Equations ◽  
Linear And Nonlinear ◽  
Pseudo Spectral Method ◽  
Pseudo Spectral

AbstractA Chebyshev pseudo-spectral method for solving numerically linear and nonlinear fractional-order integro-differential equations of Volterra type is considered. The fractional derivative is described in the Caputo sense. The suggested method reduces these types of equations to the solution of linear or nonlinear algebraic equations. Special attention is given to study the convergence of the proposed method. Finally, some numerical examples are provided to show that this method is computationally efficient, and a comparison is made with existing results.

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