Reproducing kernel Hilbert space method for the solutions of generalized Kuramoto-Sivashinsky equation

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Tarih

2019

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Taylor & Francis Ltd

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

Reproducing kernel Hilbert space method is given for the solution of generalized Kuramoto-Sivashinsky equation. Reproducing kernel functions are obtained to get the solution of the generalized Kuramoto-Sivashinsky equation. Two examples have been introduced to prove the accuracy of the method. The obtained results show that the reproducing kernel Hilbert space method gives approximate analytical solutions which are very close to the exact solution of the generalized Kuramoto-Sivashinsky equation, which demonstrates the power of the proposed technique. We prove the efficiency of the reproducing kernel Hilbert space method in this paper.

Açıklama

Anahtar Kelimeler

Generalized Kuramoto-Sivashinsky equation, reproducing kernel functions, Hilbert spaces

Kaynak

Journal of Taibah University For Science

WoS Q Değeri

Q3

Scopus Q Değeri

Q1

Cilt

13

Sayı

1

Künye