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- Title
A Fractional Finite Difference Method for Solving the Fractional Poisson Equation Based on the Shifted Gránwald Estimate.
- Authors
BORHANIFAR, Abdollah; VALIZADEH, Sohrab
- Abstract
In this study a fractional Poisson equation is scrutinized through finite difference using the shifted Gránwald estimate. A novel method is proposed numerically. The existence and uniqueness of the solution for the fractional Poisson equation is proved. Exact and numerical solutions are constructed and compared. Then numerical results show the efficiency of the proposed method.
- Subjects
POISSON'S equation; NUMERICAL solutions to differential equations; APPROXIMATION theory; FINITE differences; FRACTIONS
- Publication
Walailak Journal of Science & Technology, 2013, Vol 10, Issue 5/6, p427
- ISSN
1686-3933
- Publication type
Article