Adomian decomposition method by Gegenbauer and Jacobi polynomials
| dc.contributor.author | Cenesiz, Yucel | |
| dc.contributor.author | Kurnaz, Aydin | |
| dc.date.accessioned | 2020-03-26T18:13:43Z | |
| dc.date.available | 2020-03-26T18:13:43Z | |
| dc.date.issued | 2011 | |
| dc.department | Selçuk Üniversitesi | en_US |
| dc.description.abstract | In this paper, orthogonal polynomials on [-1,1] interval are used to modify the Adomian decomposition method (ADM). Gegenbauer and Jacobi polynomials are employed to improve the ADM and compared with the method of using Chebyshev and Legendre polynomials. To show the efficiency of the developed method, some linear and nonlinear examples are solved by the proposed method, results are compared with other modifications of the ADM and the exact solutions of the problems. | en_US |
| dc.description.sponsorship | TubitakTurkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK); Selcuk UniversitySelcuk University | en_US |
| dc.description.sponsorship | This work is a part of the corresponding author's Ph.D. Thesis. This research is supported by Tubitak and Selcuk University Scientific Research Projects Coordinatorship. | en_US |
| dc.identifier.doi | 10.1080/00207160.2011.611503 | en_US |
| dc.identifier.endpage | 3676 | en_US |
| dc.identifier.issn | 0020-7160 | en_US |
| dc.identifier.issue | 17 | en_US |
| dc.identifier.scopusquality | Q2 | en_US |
| dc.identifier.startpage | 3666 | en_US |
| dc.identifier.uri | https://dx.doi.org/10.1080/00207160.2011.611503 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12395/26094 | |
| dc.identifier.volume | 88 | en_US |
| dc.identifier.wos | WOS:000296668700007 | en_US |
| dc.identifier.wosquality | Q3 | en_US |
| dc.indekslendigikaynak | Web of Science | en_US |
| dc.indekslendigikaynak | Scopus | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | TAYLOR & FRANCIS LTD | en_US |
| dc.relation.ispartof | INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.selcuk | 20240510_oaig | en_US |
| dc.subject | Adomian decomposition method | en_US |
| dc.subject | orthogonal polynomials | en_US |
| dc.subject | Gegenbauer polynomials | en_US |
| dc.subject | Jacobi polynomials | en_US |
| dc.title | Adomian decomposition method by Gegenbauer and Jacobi polynomials | en_US |
| dc.type | Article | en_US |
