Numerical Solutions of the Modified Burgers' Equation by Finite Difference Methods
Küçük Resim Yok
Tarih
2017
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
De Gruyter Poland Sp Zoo
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this study, a numerical solution of the modified Burgers' equation is obtained by the finite difference methods. For the solution process, two linearization techniques have been applied to get over the non-linear term existing in the equation. Then, some comparisons have been made between the obtained results and those available in the literature. Furthermore, the error norms L-2 and L-infinity are computed and found to be sufficiently small and compatible with others in the literature. The stability analysis of the linearized finite difference equations obtained by two different linearization techniques has been separately conducted via Fourier stability analysis method.
Açıklama
Anahtar Kelimeler
Modified Burgers' equation, Finite difference method, Fourier Stability Analysis
Kaynak
Journal of Applied Mathematics Statistics and Informatics
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
13
Sayı
1
