A space-time Chebyshev spectral collocation method for the reaction–dispersion equations with anti-kink-type waves

Murat Sari; Huseyin Kocak; Huseyin Tunc

doi:10.1142/S0129183122501042

A space-time Chebyshev spectral collocation method for the reaction–dispersion equations with anti-kink-type waves

Murat Sari^*, Huseyin Kocak, Huseyin Tunc

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

The aim of this work is to provide an e±cient technique for numerical solutions of the reaction–dispersion equations including convection and di®usion. The Chebyshev spectral collocation method (ChSCM) is used in both space and time to exhibit anti-kink-type waves that appear as the result of the proposed model equations. It is shown that the revealed solutions are promising to e±ciently catch such challenging physical behavior. Quantitative convergence results in both time and space are illustrated for the reaction–dispersion problems.

Original language	English
Article number	2250104
Journal	International Journal of Modern Physics C
Volume	33
Issue number	8
DOIs	https://doi.org/10.1142/S0129183122501042
Publication status	Published - 1 Aug 2022
Externally published	Yes

Bibliographical note

Publisher Copyright:
© World Scientific Publishing Company.

Funding

The third author would like to thank the Science Fellowships and Grant Pro-grammes Department of TUBITAK (BIDEB) for their ¯nancial support to his academic research.

Funders	Funder number
Türkiye Bilimsel ve Teknolojik Araştırma Kurumu

Keywords

Chebyshev collocation method
Reaction–dispersion equations
anti-kink waves
space-time spectral method

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10.1142/S0129183122501042

Cite this

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title = "A space-time Chebyshev spectral collocation method for the reaction–dispersion equations with anti-kink-type waves",

abstract = "The aim of this work is to provide an e±cient technique for numerical solutions of the reaction–dispersion equations including convection and di{\textregistered}usion. The Chebyshev spectral collocation method (ChSCM) is used in both space and time to exhibit anti-kink-type waves that appear as the result of the proposed model equations. It is shown that the revealed solutions are promising to e±ciently catch such challenging physical behavior. Quantitative convergence results in both time and space are illustrated for the reaction–dispersion problems.",

keywords = "Chebyshev collocation method, Reaction–dispersion equations, anti-kink waves, space-time spectral method",

author = "Murat Sari and Huseyin Kocak and Huseyin Tunc",

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year = "2022",

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language = "English",

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T1 - A space-time Chebyshev spectral collocation method for the reaction–dispersion equations with anti-kink-type waves

AU - Sari, Murat

AU - Kocak, Huseyin

AU - Tunc, Huseyin

N1 - Publisher Copyright: © World Scientific Publishing Company.

PY - 2022/8/1

Y1 - 2022/8/1

N2 - The aim of this work is to provide an e±cient technique for numerical solutions of the reaction–dispersion equations including convection and di®usion. The Chebyshev spectral collocation method (ChSCM) is used in both space and time to exhibit anti-kink-type waves that appear as the result of the proposed model equations. It is shown that the revealed solutions are promising to e±ciently catch such challenging physical behavior. Quantitative convergence results in both time and space are illustrated for the reaction–dispersion problems.

AB - The aim of this work is to provide an e±cient technique for numerical solutions of the reaction–dispersion equations including convection and di®usion. The Chebyshev spectral collocation method (ChSCM) is used in both space and time to exhibit anti-kink-type waves that appear as the result of the proposed model equations. It is shown that the revealed solutions are promising to e±ciently catch such challenging physical behavior. Quantitative convergence results in both time and space are illustrated for the reaction–dispersion problems.

KW - Chebyshev collocation method

KW - Reaction–dispersion equations

KW - anti-kink waves

KW - space-time spectral method

UR - https://www.scopus.com/pages/publications/85125543293

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DO - 10.1142/S0129183122501042

M3 - Article

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SN - 0129-1831

VL - 33

JO - International Journal of Modern Physics C

JF - International Journal of Modern Physics C

IS - 8

M1 - 2250104

ER -

A space-time Chebyshev spectral collocation method for the reaction–dispersion equations with anti-kink-type waves

Abstract

Bibliographical note

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Keywords

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