Numerical solutions based on Chebyshev collocation method for singularly perturbed delay parabolic PDEs | Zendy

Peiraviminaei A. | Zendy; Ghoreishi F. | Zendy

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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.

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