A rational approximate solution for generalized pantograph‐delay differential equations |
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| Authors: | Osman Rasit Isik,Turgay Turkoglu |
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| Affiliation: | 1. Elementary Mathematics Education Program, Faculty of Education, Mugla Sitki Kocman University, Mugla, Turkey;2. Yerkesik IMKB multi‐program high school, Mugla, Turkey |
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| Abstract: | In this paper, a new rational approximation based on a rational interpolation and collocation method is proposed for the solutions of generalized pantograph equations. A comprehensive error analysis is provided. The first part of the error analysis gives an upper bound for the absolute error. The second part is based on residual error procedure that estimates the absolute error. Some numerical examples are given to illustrate the method. The theoretical results support the numerical results. Copyright © 2015 John Wiley & Sons, Ltd. |
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| Keywords: | pantograph equations rational approximation collocation method Bernstein polynomials |
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