Numerical solution of the one-dimensional Burgers' equation: Implicit and fully implicit exponential finite difference methods
Küçük Resim Yok
Tarih
2013
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Indian Acad Sciences
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
This paper describes two new techniques which give improved exponential finite difference solutions of Burgers' equation. These techniques are called implicit exponential finite difference method and fully implicit exponential finite difference method for solving Burgers' equation. As the Burgers' equation is nonlinear, the scheme leads to a system of nonlinear equations. At each time-step, Newton's method is used to solve this nonlinear system. The results are compared with exact values and it is clearly shown that results obtained using both the methods are precise and reliable.
Açıklama
Anahtar Kelimeler
Burgers' equation, exponential finite difference method, implicit exponential finite difference method, fully implicit exponential finite difference method
Kaynak
Pramana-Journal of Physics
WoS Q Değeri
Q4
Scopus Q Değeri
Q2
Cilt
81
Sayı
4
