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01-Applied Mathematics & Information Sciences
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 
 
 

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Volumes > Volume 16 > No. 1

 
   

Numerical Approximation of a Nonlinear Fractional Elliptic System

PP: 93-99
doi:10.18576/amis/160109
Author(s)
Sara Dob, Messaoud Maouni, Kamel Slimani, Hakim Lakhal,
Abstract
This paper proposes a fractional numerical approximation of elliptic system with fractional order (s ∈]0, 1[) via the finite difference method (FDM), the analysis is performed on two general dimensional domains with homogeneous boundary conditions. A convergent series solution and the corresponding error estimates are obtained. The performance of FDM is tested with known exact solution, which confirm the theoretical predictions.

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