Numerical solution of time-fractional coupled Korteweg-de Vries and Klein-Gordon equations by local meshless method
[ X ]
Tarih
2021
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Indian Acad Sciences
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
This article provides numerical simulations of the time-fractional coupled Korteweg-de Vries and Klein-Gordon equations via the local meshless collocation method (LMCM) utilising the radial basis functions. The recommended local meshless technique is utilised for the space derivatives of the models whereas Caputo fractional definition is used for time-fractional derivative. Numerical experiments are performed for one-dimensional coupled Korteweg-de Vries and two-dimensional Klein-Gordon equations. In order to verify the efficiency and accuracy of the proposed meshless method, numerical results are compared with exact and numerical techniques reported in recent literature which reveals that the method is computationally attractive and produces better results.
Açıklama
Anahtar Kelimeler
Meshless collocation method, radial basis functions, coupled Korteweg-de Vries equations, Klein-Gordon equation, irregular domain, 02, 60, -x, 02, 30, Jr, 02, 90, +p
Kaynak
Pramana-Journal of Physics
WoS Q Değeri
Q3
Scopus Q Değeri
Q2
Cilt
95
Sayı
1
