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Numerical solutions based on Chebyshev collocation method for singularly perturbed delay parabolic PDEs
Authors:A Peiraviminaei  F Ghoreishi
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
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.
Keywords:Chebyshev collocation method  delay differential equation  singularly perturbed differential equation
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