Numerical solutions based on Chebyshev collocation method for singularly perturbed delay parabolic PDEs (Q2922243)

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scientific article; zbMATH DE number 6353368
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Numerical solutions based on Chebyshev collocation method for singularly perturbed delay parabolic PDEs
scientific article; zbMATH DE number 6353368

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    Numerical solutions based on Chebyshev collocation method for singularly perturbed delay parabolic PDEs (English)
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    9 October 2014
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    Chebyshev collocation method
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    delay parabolic partial differential equation
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    singular perturbation
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    spectral method
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    error analysis
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    numerical result
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    The aim of this paper is to provide a numerical approach for delay partial differential equations based on a spectral collocation approach. In this research, a rigorous error analysis for the proposed method is provided. Numerical results are presented that support the theoretical conclusion.
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