Efficient techniques for numerical solutions of Fisher's equation using B-spline finite element methods
Küçük Resim Yok
Tarih
2023
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Heidelberg
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
This study presents a numerical solution of Fisher's equation. For time integration, Crank- Nicolson and fourth-order one-step implicit schemes are used and for space discretization, quintic B-spline Collocation and quintic B-spline Galerkin methods are employed. The truncation error is analyzed and the stability of the suggested methods is discussed matrix stability analysis. Three examples are studied to compare the present results with existing numerical results by computing error norm L(8 )and the order of convergence. The obtained results show that the proposed methods are satisfactorily efficient in terms of accuracy.
Açıklama
Anahtar Kelimeler
Galerkin Method, Collocation Method, Spline, Reaction-Diffusion Equation, Algorithm
Kaynak
Computational & Applied Mathematics
WoS Q Değeri
N/A
Scopus Q Değeri
Q2
Cilt
42
Sayı
4
