Three point block backward differentiation formula for solving Stiff ordinary differential equations
Küçük Resim Yok
Tarih
2009
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Maltepe Üniversitesi
Erişim Hakkı
CC0 1.0 Universal
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
Özet
In this paper, a 3-point block method based on Backward Diffeerentiation Formulas (BDF) which is called 3BBDF for solving first order Ordinary Diffeerential Equations (ODEs) using fixed step size is presented. This method will compute the solutions of Initial Value Problems (IVPs) at three points simultaneously on the x-axis. The zero stability of the derived 3BBDF is also investigated. The e±ciency of the 3BBDF is compared with the classical fixed step size BDF method. Numerical results indicate that the resulting 3BBDF method outperform the BDF method in terms of execution times and less number of steps taken to complete the integration in the given interval.
Açıklama
Anahtar Kelimeler
Backward differentiation formulas, Block, Ordinary diffeerential equations
Kaynak
International Conference of Mathematical Sciences
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
İbrahim, Z. B., Suleiman, M. ve Othman, K. I. (2009). Three point block backward differentiation formula for solving Stiff ordinary differential equations. Maltepe Üniversitesi. s. 401.
