An efficient approach to numerical study of the MRLW equation with b spline collocation method

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dc.contributor.author	Karakoç, Seydi Battal Gazi
dc.contributor.author	Ak, Turgut
dc.contributor.author	Zeybek, Halil
dc.date.accessioned	2021-09-30T06:17:31Z
dc.date.available	2021-09-30T06:17:31Z
dc.date.issued	2014
dc.identifier.uri	https://downloads.hindawi.com/journals/aaa/2014/596406.pdf
dc.identifier.uri	http://hdl.handle.net/20.500.11787/5397
dc.description.abstract	A septic B-spline collocation method is implemented to find the numerical solution of the modified regularized long wave (MRLW) equation. Three test problems including the single soliton and interaction of two and three solitons are studied to validate the proposed method by calculating the error norms 𝐿��2 and 𝐿��∞ and the invariants 𝐼��1, 𝐼��2, and 𝐼��3. Also, we have studied the Maxwellian initial condition pulse.The numerical results obtained by the method show that the present method is accurate and efficient. Results are compared with some earlier results given in the literature. A linear stability analysis of the method is also investigated.	tr_TR
dc.language.iso	eng	tr_TR
dc.rights	info:eu-repo/semantics/restrictedAccess	tr_TR
dc.subject	Collocation	tr_TR
dc.subject	MRLW equation	tr_TR
dc.subject	Septic	tr_TR
dc.title	An efficient approach to numerical study of the MRLW equation with b spline collocation method	tr_TR
dc.type	article	tr_TR
dc.relation.journal	Abstract and Applied Analysis	tr_TR
dc.contributor.department	Nevşehir Hacı Bektaş Veli Üniversitesi/fen-edebiyat fakültesi/matematik bölümü/uygulamalı matematik anabilim dalı	tr_TR
dc.contributor.authorID	28727	tr_TR
dc.identifier.volume	2014	tr_TR
dc.identifier.startpage	1	tr_TR
dc.identifier.endpage	16	tr_TR