An Unconventional Finite Difference Scheme for Modified Korteweg-De Vries Equation
| dc.contributor.author | Koroglu, Canan | |
| dc.contributor.author | Aydin, Ayhan | |
| dc.contributor.other | Mathematics | |
| dc.contributor.other | 02. School of Arts and Sciences | |
| dc.contributor.other | 01. Atılım University | |
| dc.date.accessioned | 2024-07-05T14:30:45Z | |
| dc.date.available | 2024-07-05T14:30:45Z | |
| dc.date.issued | 2017 | |
| 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.doi | 10.1155/2017/4796070 | |
| dc.identifier.issn | 1687-9120 | |
| dc.identifier.issn | 1687-9139 | |
| dc.identifier.scopus | 2-s2.0-85042109571 | |
| dc.identifier.uri | https://doi.org/10.1155/2017/4796070 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/608 | |
| dc.language.iso | en | en_US |
| dc.publisher | Hindawi Ltd | en_US |
| dc.relation.ispartof | Advances in Mathematical Physics | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| 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 |
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| gdc.author.id | Koroglu, Canan/0000-0002-4640-7768 | |
| gdc.author.institutional | Aydın, Ayhan | |
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| gdc.author.wosid | KÖROĞLU, CANAN/G-9129-2013 | |
| gdc.author.wosid | Aydin, Ayhan/AAL-5690-2020 | |
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| gdc.description.department | Atılım University | en_US |
| gdc.description.departmenttemp | [Koroglu, Canan] Hacettepe Univ, Sci Fac, Math Dept, TR-06800 Ankara, Turkey; [Aydin, Ayhan] Atilim Univ, Math Dept, TR-06830 Ankara, Turkey | en_US |
| gdc.description.endpage | 9 | |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
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| gdc.description.volume | 2017 | en_US |
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