dc.contributor.author | Yuezbasi, Suayip | |
dc.date.accessioned | 2020-11-20T16:33:20Z | |
dc.date.available | 2020-11-20T16:33:20Z | |
dc.date.issued | 2011 | |
dc.identifier.issn | 0898-1221 | |
dc.identifier.uri | https://doi.org/10.1016/j.camwa.2011.07.016 | |
dc.identifier.uri | https://hdl.handle.net/20.500.12809/4330 | |
dc.description | Yuzbasi, Suayip/0000-0002-5838-7063 | en_US |
dc.description | WOS: 000295607500016 | en_US |
dc.description.abstract | In this paper, a numerical method which produces an approximate polynomial solution is presented for solving the high-order linear singular differential-difference equations. With the aid of Bessel polynomials and collocation points, this method converts the singular differential-difference equations into the matrix equation. The matrix equation corresponds to a system of linear equations with the unknown Bessel coefficients. This method gives the analytic solutions when the exact solutions are polynomials. Finally, some experiments and their numerical solutions are given; by comparing the numerical results obtained from the other methods, we show the high accuracy and efficiency of the proposed method. All of the numerical computations have been performed on a PC using some programs written in MATLAB v7.6.0 (R2008a). (C) 2011 Elsevier Ltd. All rights reserved. | en_US |
dc.item-language.iso | eng | en_US |
dc.publisher | Pergamon-Elsevier Science Ltd | en_US |
dc.item-rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Singular Differential-Difference Equations | en_US |
dc.subject | Approximate Solutions | en_US |
dc.subject | Collocation Method | en_US |
dc.subject | Collocation Points | en_US |
dc.subject | The Bessel Matrix Method | en_US |
dc.subject | The Bessel Polynomials and Series | en_US |
dc.title | A numerical approach for solving the high-order linear singular differential-difference equations | en_US |
dc.item-type | article | en_US |
dc.contributor.department | MÜ | en_US |
dc.contributor.departmentTemp | Mugla Univ, Fac Sci, Dept Math, Mugla, Turkey | en_US |
dc.identifier.doi | 10.1016/j.camwa.2011.07.016 | |
dc.identifier.volume | 62 | en_US |
dc.identifier.issue | 5 | en_US |
dc.identifier.startpage | 2289 | en_US |
dc.identifier.endpage | 2303 | en_US |
dc.relation.journal | Computers & Mathematics With Applications | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |