An exponential approximation for solutions of generalized pantograph-delay differential equations |
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Authors: | Şuayip Yüzbaşı Mehmet Sezer |
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Institution: | 1. Department of Mathematics, Faculty of Science, Akdeniz University, TR-07058 Antalya, Turkey;2. Department of Mathematics, Faculty of Science, Celal Bayar University, Manisa, Turkey |
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Abstract: | In this paper, a new matrix method based on exponential polynomials and collocation points is proposed for solutions of pantograph equations with linear functional arguments under the mixed conditions. Also, an error analysis technique based on residual function is developed for the suggested method. Some examples are given to demonstrate the validity and applicability of the method and the comparisons are made with existing results. |
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Keywords: | Exponential approximation Pantograph equations Collocation method Residual correction Error estimation |
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