An Unconventional Finite Difference Scheme for Modified Korteweg-De Vries Equation

dc.authorid Koroglu, Canan/0000-0002-4640-7768
dc.authorscopusid 23968069600
dc.authorscopusid 56363624700
dc.authorwosid KÖROĞLU, CANAN/G-9129-2013
dc.authorwosid Aydin, Ayhan/AAL-5690-2020
dc.contributor.author Koroglu, Canan
dc.contributor.author Aydin, Ayhan
dc.contributor.other Mathematics
dc.date.accessioned 2024-07-05T14:30:45Z
dc.date.available 2024-07-05T14:30:45Z
dc.date.issued 2017
dc.department Atılım University en_US
dc.department-temp [Koroglu, Canan] Hacettepe Univ, Sci Fac, Math Dept, TR-06800 Ankara, Turkey; [Aydin, Ayhan] Atilim Univ, Math Dept, TR-06830 Ankara, Turkey en_US
dc.description Koroglu, Canan/0000-0002-4640-7768 en_US
dc.description.abstract A numerical solution of the modified Korteweg-de Vries (MKdV) equation is presented by using a nonstandard finite difference (NSFD) scheme with theta method which includes the implicit Euler and a Crank-Nicolson type discretization. Local truncation error of the NSFD scheme and linear stability analysis are discussed. To test the accuracy and efficiency of the method, some numerical examples are given. The numerical results of NSFD scheme are compared with the exact solution and a standard finite difference scheme. The numerical results illustrate that the NSFD scheme is a robust numerical tool for the numerical integration of the MKdV equation. en_US
dc.identifier.citationcount 4
dc.identifier.doi 10.1155/2017/4796070
dc.identifier.issn 1687-9120
dc.identifier.issn 1687-9139
dc.identifier.scopus 2-s2.0-85042109571
dc.identifier.scopusquality Q3
dc.identifier.uri https://doi.org/10.1155/2017/4796070
dc.identifier.uri https://hdl.handle.net/20.500.14411/608
dc.identifier.volume 2017 en_US
dc.identifier.wos WOS:000415077600001
dc.identifier.wosquality Q3
dc.institutionauthor Aydın, Ayhan
dc.language.iso en en_US
dc.publisher Hindawi Ltd en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.scopus.citedbyCount 5
dc.subject [No Keyword Available] en_US
dc.title An Unconventional Finite Difference Scheme for Modified Korteweg-De Vries Equation en_US
dc.type Article en_US
dc.wos.citedbyCount 4
dspace.entity.type Publication
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relation.isOrgUnitOfPublication.latestForDiscovery 31ddeb89-24da-4427-917a-250e710b969c

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