An efficient Strang splitting technique combined with the multiquadric-radial basis function for the Burgers' equation
Küçük Resim Yok
Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Heidelberg
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the present paper, two effective numerical schemes depending on a second-order Strang splitting technique are presented to obtain approximate solutions of the one-dimensional Burgers' equation utilizing the collocation technique and approximating directly the solution by multiquadric-radial basis function (MQ-RBF) method. To show the performance of both schemes, we have considered two examples of Burgers' equation. The obtained numerical results are compared with the available exact values and also those of other publishedmethods. Moreover, the computed L-2 and L-infinity error norms have been given. It is found that the presented schemes produce better results as compared to those obtained almost all the schemes present in the literature.
Açıklama
Anahtar Kelimeler
Burgers' equation, Strang splitting, Multiquadric-radial basis function
Kaynak
Computational & Applied Mathematics
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
40
Sayı
8
