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Galerkin Methods for Nonlinear Ordinary Differential Equation with Impulses |
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| Authors: | F. Dubeau A. Ouansafi A. Sakat |
| Affiliation: | (1) Département de mathématiques et d'informatique, Université de Sherbrooke, Sherbrooke, QC, Canada, J1K 2R1;(2) Département de mathématiques et informatique, Faculté des Sciences, Université Mohamed V, Rabat, B.P. 1014, Maroc;(3) Laboratoire d'études et recherches en mathématiques appliquées, École Mohammadia d'ingénieurs, Rabat, Maroc |
| Abstract: | Methods based on fixed mesh variational formulations for ordinary differential equations in presence of a possibly infinite number of impulses on the righthand side are presented. A simple transformation allows us to show that the problem can be treated as an ordinary differential equation. Existence and uniqueness results for the solution and approximation schemes with their error estimates are obtained. |
| Keywords: | impulsive ordinary differential equation Galerkin method Runge– Kutta methods multistep methods |
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