scholarly journals An efficient domain-decomposition pseudo-spectral method for solving elliptic differential equations

2007 ◽  
Vol 24 (10) ◽  
pp. 795-806 ◽  
Author(s):  
N. Mai-Duy ◽  
T. Tran-Cong
Keyword(s):  
Differential Equations ◽  
Domain Decomposition ◽  
Spectral Method ◽  
Elliptic Differential Equations ◽  
Pseudo Spectral Method ◽  
Pseudo Spectral

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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