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An exponential approximation for solutions of generalized pantograph-delay differential equations
Authors:Şuayip Yüzbaşı  Mehmet Sezer
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
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.
Keywords:Exponential approximation  Pantograph equations  Collocation method  Residual correction  Error estimation
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