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

^*Bu çalışma için yazışmadan sorumlu yazar

Yildiz Technical University
Pamukkale University
Bahcesehir University

Araştırma çıktısı: Dergi yayını › Makale › Hakemli

1 Atıf (Scopus)

Özet

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.

Orijinal dil	İngilizce
Makale numarası	2250104
Dergi	International Journal of Modern Physics C
Hacim	33
Basın numarası	8
DOI'lar	https://doi.org/10.1142/S0129183122501042
Yayın durumu	Yayınlandı - 1 Ağu 2022
Harici olarak yayınlandı	Evet

Bibliyografik not

Publisher Copyright:
© World Scientific Publishing Company.

Finansman

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.

Finansörler
Türkiye Bilimsel ve Teknolojik Araştırma Kurumu

Belgeye Erişim

10.1142/S0129183122501042

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

@article{298a640cd4e4431abac206aea02b648d,

title = "A space-time Chebyshev spectral collocation method for the reaction{\textendash}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{\textendash}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{\textendash}dispersion problems.",

keywords = "Chebyshev collocation method, Reaction{\textendash}dispersion equations, anti-kink waves, space-time spectral method",

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

note = "Publisher Copyright: {\textcopyright} World Scientific Publishing Company.",

year = "2022",

month = aug,

day = "1",

doi = "10.1142/S0129183122501042",

language = "English",

volume = "33",

journal = "International Journal of Modern Physics C",

issn = "0129-1831",

publisher = "World Scientific Publishing Co. Pte Ltd",

number = "8",

}

TY - JOUR

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

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

U2 - 10.1142/S0129183122501042

DO - 10.1142/S0129183122501042

M3 - Article

AN - SCOPUS:85125543293

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

Özet

Bibliyografik not

Finansman

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap