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https://hdl.handle.net/11499/6077
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Akyüz Daşcıoglu, Ayşegül | - |
dc.contributor.author | Çerdik Yaslan, Handan | - |
dc.date.accessioned | 2019-08-16T12:04:04Z | - |
dc.date.available | 2019-08-16T12:04:04Z | - |
dc.date.issued | 2011 | - |
dc.identifier.issn | 0096-3003 | - |
dc.identifier.uri | https://hdl.handle.net/11499/6077 | - |
dc.identifier.uri | https://doi.org/10.1016/j.amc.2010.12.044 | - |
dc.description.abstract | By the use of the Chebyshev series, a direct computational method for solving the higher order nonlinear differential equations has been developed in this paper. This method transforms the nonlinear differential equation into the matrix equation, which corresponds to a system of nonlinear algebraic equations with unknown Chebyshev coefficients, via Chebyshev collocation points. The solution of this system yields the Chebyshev coefficients of the solution function. An algorithm for this nonlinear system is also proposed in this paper. The method is valid for both initial-value and boundary-value problems. Several examples are presented to illustrate the accuracy and effectiveness of the method. © 2010 Elsevier Inc. All rights reserved. | en_US |
dc.language.iso | en | en_US |
dc.relation.ispartof | Applied Mathematics and Computation | en_US |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Chebyshev collocation method | en_US |
dc.subject | Lane-Emden, Van der Pol, Riccati equations | en_US |
dc.subject | Nonlinear differential equation | en_US |
dc.subject | Chebyshev | en_US |
dc.subject | Chebyshev collocation | en_US |
dc.subject | Chebyshev series | en_US |
dc.subject | High-order | en_US |
dc.subject | Higher order | en_US |
dc.subject | Matrix equations | en_US |
dc.subject | Nonlinear algebraic equations | en_US |
dc.subject | Nonlinear ordinary differential equation | en_US |
dc.subject | Van der Pol | en_US |
dc.subject | Algebra | en_US |
dc.subject | Ordinary differential equations | en_US |
dc.subject | Riccati equations | en_US |
dc.subject | Nonlinear equations | en_US |
dc.title | The solution of high-order nonlinear ordinary differential equations by Chebyshev Series | en_US |
dc.type | Article | en_US |
dc.identifier.volume | 217 | en_US |
dc.identifier.issue | 12 | en_US |
dc.identifier.startpage | 5658 | - |
dc.identifier.startpage | 5658 | en_US |
dc.identifier.endpage | 5666 | en_US |
dc.authorid | 0000-0001-8931-6930 | - |
dc.identifier.doi | 10.1016/j.amc.2010.12.044 | - |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.identifier.scopus | 2-s2.0-79551645703 | en_US |
dc.identifier.wos | WOS:000286969000053 | en_US |
dc.identifier.scopusquality | Q1 | - |
dc.owner | Pamukkale University | - |
item.cerifentitytype | Publications | - |
item.fulltext | No Fulltext | - |
item.grantfulltext | none | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.languageiso639-1 | en | - |
item.openairetype | Article | - |
crisitem.author.dept | 17.04. Mathematics | - |
crisitem.author.dept | 17.04. Mathematics | - |
Appears in Collections: | Fen-Edebiyat Fakültesi Koleksiyonu Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
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