|
|
 |
| |
|
|
|
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.
|
|
|
|
|
|
|
|
