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| Title: | The non-standard finite difference method for handling fractional differential systems |
| Authors: | K., Moaddy
Ishak, Hashim
S., Momani |
| E-mail: | ishak_h@ukm.my
s.momani@ju.edu.jo |
| Keywords: | Non-standard finite difference schemes
Grunwald-Letnikov
Lotka-Voltera
Regional Conference on Applied and Engineering Mathematics (RCAEM) |
| Issue Date: | 2-Jun-2010 |
| Publisher: | Universiti Malaysia Perlis (UniMAP) |
| Department: | Institut Matematik Kejuruteraan |
| Citation: | Vol.1(21), p.130-136 |
| Series/Report no.: | Proceedings of the 1st Regional Conference on Applied and Engineering Mathematics (RCAEM-I) 2010 |
| Abstract: | In this paper, the non-standard finite difference method (in short NSFD) is implemented to give numerical solutions for linear and nonlinear systems of differential equations of fractional order. The Grunwald-Letnikov method is used to approximate the fractional derivative. The proposed algorithm avoids the complexity existed in other numerical approaches. Four linear and nonlinear fractional differential systems including the Lotka-Volterra system are investigated to show the efficiency of NSFD. Numerical results show that the NSFD approach is easy to implement and accurate when applied to differential equations of fractional order. |
| Description: | 1st Regional Conference on Applied and Engineering Mathematics (RCAEM-I) 2010 organized by Universiti Malaysia Perlis (UniMAP) and co-organized by Universiti Sains Malaysia (USM) & Universiti Kebangsaan Malaysia (UKM), 2nd - 3rd June 2010 at Eastern & Oriental Hotel, Penang. |
| URI: | http://hdl.handle.net/123456789/10304 |
| Appears in Collections: | Conference Papers
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