Impulsive differential equations by using the Euler method
The theory of impulsive differential equations is emerging as an important area of investigation since such equations appear to represent a natural framework for mathematical modeling of several real phenomena. There have been intensive studies on the qualitative behavior of solutions of the i...
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| Format: | Article |
| Language: | en |
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2010
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| Online Access: | http://eprints.uthm.edu.my/7856/1/J3790_0034cb64e02835007a935baace91a463.pdf http://eprints.uthm.edu.my/7856/ |
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| author | Amir Hamzah1, Nor Shamsidah Mamat, Mustafa Kavikumar, J. Lee, Siaw Chong Ahmad, Noor’ani |
| author_facet | Amir Hamzah1, Nor Shamsidah Mamat, Mustafa Kavikumar, J. Lee, Siaw Chong Ahmad, Noor’ani |
| author_sort | Amir Hamzah1, Nor Shamsidah |
| building | UTHM Library |
| collection | Institutional Repository |
| content_provider | Universiti Tun Hussein Onn Malaysia |
| content_source | UTHM Institutional Repository |
| continent | Asia |
| country | Malaysia |
| description | The theory of impulsive differential equations is emerging as an important area of
investigation since such equations appear to represent a natural framework for
mathematical modeling of several real phenomena. There have been intensive studies
on the qualitative behavior of solutions of the impulsive differential equations.
However, many impulsive differential equations cannot be solved analytically or their
solving is complicated. In this paper, we represent the algorithm which follows the
theory of impulsive differential equations to solve the impulsive differential equations
by using the Euler methods. It is clearly shown the impulsive operators k I that acts
at the moments k t influence the error. Finally, the better convergence result of the
numerical solution is given by solving the numerical examples. |
| format | Article |
| id | my.uthm.eprints-7856 |
| institution | Universiti Tun Hussein Onn Malaysia |
| language | en |
| publishDate | 2010 |
| publisher | - |
| record_format | eprints |
| spelling | my.uthm.eprints-78562022-10-17T06:16:56Z http://eprints.uthm.edu.my/7856/ Impulsive differential equations by using the Euler method Amir Hamzah1, Nor Shamsidah Mamat, Mustafa Kavikumar, J. Lee, Siaw Chong Ahmad, Noor’ani T Technology (General) The theory of impulsive differential equations is emerging as an important area of investigation since such equations appear to represent a natural framework for mathematical modeling of several real phenomena. There have been intensive studies on the qualitative behavior of solutions of the impulsive differential equations. However, many impulsive differential equations cannot be solved analytically or their solving is complicated. In this paper, we represent the algorithm which follows the theory of impulsive differential equations to solve the impulsive differential equations by using the Euler methods. It is clearly shown the impulsive operators k I that acts at the moments k t influence the error. Finally, the better convergence result of the numerical solution is given by solving the numerical examples. - 2010 Article PeerReviewed text en http://eprints.uthm.edu.my/7856/1/J3790_0034cb64e02835007a935baace91a463.pdf Amir Hamzah1, Nor Shamsidah and Mamat, Mustafa and Kavikumar, J. and Lee, Siaw Chong and Ahmad, Noor’ani (2010) Impulsive differential equations by using the Euler method. Applied Mathematical Sciences,, 4 (65). pp. 3219-3232. ISSN - |
| spellingShingle | T Technology (General) Amir Hamzah1, Nor Shamsidah Mamat, Mustafa Kavikumar, J. Lee, Siaw Chong Ahmad, Noor’ani Impulsive differential equations by using the Euler method |
| title | Impulsive differential equations by using the Euler method |
| title_full | Impulsive differential equations by using the Euler method |
| title_fullStr | Impulsive differential equations by using the Euler method |
| title_full_unstemmed | Impulsive differential equations by using the Euler method |
| title_short | Impulsive differential equations by using the Euler method |
| title_sort | impulsive differential equations by using the euler method |
| topic | T Technology (General) |
| url | http://eprints.uthm.edu.my/7856/1/J3790_0034cb64e02835007a935baace91a463.pdf http://eprints.uthm.edu.my/7856/ |
| url_provider | http://eprints.uthm.edu.my/ |