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Weighted Average Finite Difference Methods for Fractional Reaction-Subdiffusion Equation |
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| รหัสดีโอไอ | |
| Creator | Nasser Hassen SWEILAM, Mohamed Meabed KHADER, Mohamed ADEL |
| Title | Weighted Average Finite Difference Methods for Fractional Reaction-Subdiffusion Equation |
| Publisher | Walailak University |
| Publication Year | 2557 |
| Journal Title | Walailak Journal of Science and Technology |
| Journal Vol. | 11 |
| Journal No. | 4 |
| Page no. | 361-377 |
| Keyword | Weighted average, finite difference approximations, fractional reaction-subdiffusion quation, stability analysis |
| ISSN | 1686-3933 |
| Abstract | In this article, a numerical study for fractional reaction-subdiffusion equations is introduced using a class of finite difference methods. These methods are extensions of the weighted average methods for ordinary (non-fractional) reaction-subdiffusion equations. A stability analysis of the proposed methods is given by a recently proposed procedure similar to the standard John von Neumann stability analysis. Simple and accurate stability criterion valid for different discretization schemes of the fractional derivative, arbitrary weight factor, and arbitrary order of the fractional derivative, are given and checked numerically. Numerical test examples, figures, and comparisons have been presented for clarity. |
