Numerical solutions based on Chebyshev collocation method for singularly perturbed delay parabolic PDEs |
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Authors: | A Peiraviminaei F Ghoreishi |
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Institution: | 1. Department of Computer Sciences, Shahid Beheshti University, , GC, Tehran, Iran;2. Department of Mathematics, Faculty of Science, Khajeh Nasir Toosi University of Technology, , P.O. Box 16315‐1618 Tehran, Iran |
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Abstract: | The main purpose of this work is to provide a numerical approach for the delay partial differential equations based on a spectral collocation approach. In this research, a rigorous error analysis for the proposed method is provided. The effectiveness of this approach is illustrated by numerical experiments on two delay partial differential equations. Copyright © 2013 John Wiley & Sons, Ltd. |
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Keywords: | Chebyshev collocation method delay differential equation singularly perturbed differential equation |
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