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Numerical solutions based on Chebyshev collocation method for singularly perturbed delay parabolic PDEs
Author(s) -
Peiraviminaei A.,
Ghoreishi F.
Publication year - 2013
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.2959
Subject(s) - mathematics , collocation method , collocation (remote sensing) , partial differential equation , spectral method , chebyshev filter , orthogonal collocation , numerical analysis , chebyshev polynomials , parabolic partial differential equation , work (physics) , delay differential equation , mathematical analysis , differential equation , ordinary differential equation , computer science , engineering , mechanical engineering , machine learning
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.