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The non-standard finite difference method for handling fractional differential systems

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.

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Bibliographic Details
Main Authors: K., Moaddy, Ishak, Hashim, S., Momani
Other Authors: ishak_h@ukm.my
Format: Working Paper
Language:English
Published: Universiti Malaysia Perlis (UniMAP) 2010
Subjects:
Non-standard finite difference schemes
Grunwald-Letnikov
Lotka-Voltera
Regional Conference on Applied and Engineering Mathematics (RCAEM)
Online Access:http://dspace.unimap.edu.my/xmlui/handle/123456789/10304
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spelling my.unimap-103042010-11-25T05:04:00Z The non-standard finite difference method for handling fractional differential systems K., Moaddy Ishak, Hashim S., Momani ishak_h@ukm.my s.momani@ju.edu.jo Non-standard finite difference schemes Grunwald-Letnikov Lotka-Voltera Regional Conference on Applied and Engineering Mathematics (RCAEM) 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. 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. 2010-11-25T05:04:00Z 2010-11-25T05:04:00Z 2010-06-02 Working Paper Vol.1(21), p.130-136 http://hdl.handle.net/123456789/10304 en Proceedings of the 1st Regional Conference on Applied and Engineering Mathematics (RCAEM-I) 2010 Universiti Malaysia Perlis (UniMAP) Institut Matematik Kejuruteraan
institution Universiti Malaysia Perlis
building UniMAP Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Perlis
content_source UniMAP Library Digital Repository
url_provider http://dspace.unimap.edu.my/
language English
topic Non-standard finite difference schemes
Grunwald-Letnikov
Lotka-Voltera
Regional Conference on Applied and Engineering Mathematics (RCAEM)
spellingShingle Non-standard finite difference schemes
Grunwald-Letnikov
Lotka-Voltera
Regional Conference on Applied and Engineering Mathematics (RCAEM)
K., Moaddy
Ishak, Hashim
S., Momani
The non-standard finite difference method for handling fractional differential systems
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.
author2 ishak_h@ukm.my
author_facet ishak_h@ukm.my
K., Moaddy
Ishak, Hashim
S., Momani
format Working Paper
author K., Moaddy
Ishak, Hashim
S., Momani
author_sort K., Moaddy
title The non-standard finite difference method for handling fractional differential systems
title_short The non-standard finite difference method for handling fractional differential systems
title_full The non-standard finite difference method for handling fractional differential systems
title_fullStr The non-standard finite difference method for handling fractional differential systems
title_full_unstemmed The non-standard finite difference method for handling fractional differential systems
title_sort non-standard finite difference method for handling fractional differential systems
publisher Universiti Malaysia Perlis (UniMAP)
publishDate 2010
url http://dspace.unimap.edu.my/xmlui/handle/123456789/10304
_version_ 1643789787016986624
score 13.222552

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