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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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
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2010
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| Subjects: | |
| Online Access: | http://eprints.uthm.edu.my/7856/1/J3790_0034cb64e02835007a935baace91a463.pdf http://eprints.uthm.edu.my/7856/ |
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| Summary: | 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. |
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