Operator splitting for the fractional Korteweg-de Vries equation

Dutta R.; Sarkar T.

Full metadata record

DC Field	Value	Language
dc.contributor.author	Dutta R.	en_US
dc.contributor.author	Sarkar T.	en_US
dc.date.accessioned	2023-11-30T08:33:54Z	-
dc.date.available	2023-11-30T08:33:54Z	-
dc.date.issued	2021	-
dc.identifier.issn	0749159X	-
dc.identifier.other	EID(2-s2.0-85109087142)	-
dc.identifier.uri	https://dx.doi.org/10.1002/num.22810	-
dc.identifier.uri	http://localhost:8080/xmlui/handle/123456789/468	-
dc.description.abstract	Our aim is to analyze operator splitting for the fractional Korteweg-de Vries (KdV) equation, (Formula presented.), (Formula presented.), where (Formula presented.) is a non-local operator with (Formula presented.). Under the appropriate regularity of the initial data, we demonstrate the convergence of approximate solutions obtained by the Godunov and Strang splitting. Obtaining the Lie commutator bound, we show that for the Godunov splitting, first order convergence in (Formula presented.) is obtained for the initial data in (Formula presented.) and in case of the Strang splitting, second order convergence in (Formula presented.) is obtained by estimating the Lie double commutator for initial data in (Formula presented.). The obtained rates are expected in comparison with the KdV (Formula presented.) case. © 2021 Wiley Periodicals LLC.	en_US
dc.language.iso	en	en_US
dc.publisher	John Wiley and Sons Inc	en_US
dc.source	Numerical Methods for Partial Differential Equations	en_US
dc.subject	commutator estimate	en_US
dc.subject	error estimate	en_US
dc.subject	fractional Korteweg-de Vries equation	en_US
dc.subject	Godunov splitting	en_US
dc.subject	rate of convergence	en_US
dc.subject	Strang splitting	en_US
dc.title	Operator splitting for the fractional Korteweg-de Vries equation	en_US
dc.type	Journal Article	en_US
Appears in Collections:	Journal Article