A computational method for nonlinear Burgers’ equation using quartic-trigonometric tension B-splines
Yükleniyor...
Tarih
2022
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Medizin
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
This work proposes a finite element method emphasizing with quartic-trigonometric basis functions for finding the numerical solution of nonlinear Burgers’ equation. The computational scheme is constructed by a discretized space-time hybrid approach using B-spline functions. This methodology produces a system of time-dependent differential equations which is integrated by finite elements technique. The experimental cases including graphical patterns of each wave interaction are simulated by the current computational algorithm. In addition, the method establishes the capacity to provide highly efficient solutions with relative ease of computation. Investigation of the stability analysis shows that the current computational method serves an unconditional stable numerical scheme. © 2022, The Author(s), under exclusive licence to Islamic Azad University.
Açıklama
Anahtar Kelimeler
Burgers’ Equation, Galerkin Method, Quartic-Trigonometric Tension B-spline, Stability Analysis, Wave Motion
Kaynak
Mathematical Sciences
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
Sayı
Künye
Yigit, G., Hepson, O. E., & Allahviranloo, T. (2022). A computational method for nonlinear burgers’ equation using quartic-trigonometric tension B-splines. Mathematical Sciences, doi:10.1007/s40096-022-00481-1
