A Taylor collocation method for solving delay integral equations |
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| Authors: | Azzeddine Bellour Mahmoud Bousselsal |
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| Institution: | 1. Department of Mathematics, Ecole Normale Supérieure de Constantine, Constantine, Algeria
2. Laboratoire d’analyse nonlineaire et HM. Ecole Normale Supérieure de Kouba, Vieux Kouba, 16050, Algiers, Algeria
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| Abstract: | A numerical method based on the use of Taylor polynomials is proposed to construct a collocation solution $u\in S_{m-1}^{(-1)}(\Pi _{N})$ for approximating the solution of delay integral equations. It is shown that this method is convergent. Some numerical examples are given to show the validity of the presented method. |
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