Approximation of the KdVB equation by the quintic B-spline differential quadrature method

Autor:	ALİ BAŞHAN, SEYDİ BATTAL GAZİ KARAKOÇ, TURABİ GEYİKLİ
Jazyk:	angličtina
Rok vydání:	2015
Předmět:	KdVB equation differential quadrature method quintic B-splines partial differential equation stability. Science (General) Q1-390
Zdroj:	Kuwait Journal of Science, Vol 42, Iss 2 (2015)
Druh dokumentu:	article
ISSN:	2307-4108 2307-4116
Popis:	In this paper, the Korteweg-de Vries-Burgers’ (KdVB) equation is solved numerically by anew differential quadrature method based on quintic B-spline functions. The weightingcoefficients are obtained by semi-explicit algorithm including an algebraic system with fivebandcoefficient matrix. The L2 and L∞ error norms and lowest three invariants 1 2 I , I and3 I have computed to compare with some earlier studies. Stability analysis of the method isalso given. The obtained numerical results show that the present method performs better thanthe most of the methods available in the literature.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/6d1dc59dcaaf4cfb99f1a44e3c2db541 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF