Several different ways to increase the accuracy of the numerical solution of the first order wave equation

The article presents several different ways to increase the accuracy of the numerical solution of differential equations. The comparison of schemes with different accuracy for the first order wave equation problem is presented. The schemes of the first order of upwind scheme, the second order of acc...

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Bibliographic Details
Published in:	BIO web of conferences Vol. 84; p. 2032
Main Authors:	Madaliev, Murodil, Orzimatov, Jahongir, Abdulkhaev, Zokhidjon, Esonov, Olimjon, Mirzaraximov, Mirzohid
Format:	Journal Article
Language:	English
Published:	EDP Sciences 01-01-2024
Online Access:	Get full text
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Summary:	The article presents several different ways to increase the accuracy of the numerical solution of differential equations. The comparison of schemes with different accuracy for the first order wave equation problem is presented. The schemes of the first order of upwind scheme, the second order of accuracy of McCormack, the third order of accuracy of Warming–Cutler–Lomax, and the scheme of the fourth order of accuracy of Abarbanel–Gotlieb–Turkel were applied. The condensed computational grids for the McCormack scheme are used, and the results using an adaptive grid for the McCormack scheme were compared.
ISSN:	2117-4458 2117-4458
DOI:	10.1051/bioconf/20248402032