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On Spectral Method for Volterra Functional Integro-Differential Equations of Neutral Type |
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| Authors: | S. Sedaghat Mehdi. Dehghan |
| Affiliation: | 1. Department of Mathematics , Alzahra University , Tehran , Iran;2. Department of Applied Mathematics, Faculty of Mathematics and Computer Science , Amirkabir University of Technology , Tehran , Iran |
| Abstract: | The main purpose of this work is to provide a numerical method for the solution of Volterra functional integro-differential equations of neutral type based on a spectral approach. We analyze the convergence properties of the spectral method to approximate smooth solutions of Volterra functional integro-differential equations of neutral type. It is shown that for the neutral integro-differential equations, the spectral methods yield an exponential order of convergence. |
| Keywords: | Delay differential equation Error analysis Neutral equations Spectral method Volterra functional integro-differential equation |